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Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?
- a)0.5
- b)0.6
- c)0.8
- d)1.0
Correct answer is option 'B'. Can you explain this answer?
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Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If t...
Given Data:
- Water cools down from 60°C to 48°C in 80 sec
- Alcohol cools down from 60°C to 48°C in 59 sec
- Relative density of alcohol = 0.8
- Thermal capacity of calorimeter = Volume of water taken
Calculating Specific Heat Capacity of Alcohol:
1. Calculate the heat lost by water:
Q = mcΔT
Q_water = mcΔT = m_water * c_water * ΔT
Q_water = m_water * c_water * (60 - 48)
2. Calculate the heat lost by alcohol:
Q_alcohol = m_alcohol * c_alcohol * (60 - 48)
3. Since the calorimeter is the same for both, we can equate the heat lost:
Q_water = Q_alcohol
4. Substituting the values:
m_water * c_water * 12 = m_alcohol * c_alcohol * 12
5. Given that the volume of water = thermal capacity of calorimeter:
m_water = m_alcohol * 0.8
Therefore, c_water = c_alcohol * 0.8
6. Substituting back into the equation:
m_alcohol * c_alcohol * 0.8 * 12 = m_alcohol * c_alcohol * 12
0.8 * c_alcohol = c_alcohol
c_alcohol = 0.8
Therefore, the specific heat capacity of alcohol is 0.8, which corresponds to option B.
- Water cools down from 60°C to 48°C in 80 sec
- Alcohol cools down from 60°C to 48°C in 59 sec
- Relative density of alcohol = 0.8
- Thermal capacity of calorimeter = Volume of water taken
Calculating Specific Heat Capacity of Alcohol:
1. Calculate the heat lost by water:
Q = mcΔT
Q_water = mcΔT = m_water * c_water * ΔT
Q_water = m_water * c_water * (60 - 48)
2. Calculate the heat lost by alcohol:
Q_alcohol = m_alcohol * c_alcohol * (60 - 48)
3. Since the calorimeter is the same for both, we can equate the heat lost:
Q_water = Q_alcohol
4. Substituting the values:
m_water * c_water * 12 = m_alcohol * c_alcohol * 12
5. Given that the volume of water = thermal capacity of calorimeter:
m_water = m_alcohol * 0.8
Therefore, c_water = c_alcohol * 0.8
6. Substituting back into the equation:
m_alcohol * c_alcohol * 0.8 * 12 = m_alcohol * c_alcohol * 12
0.8 * c_alcohol = c_alcohol
c_alcohol = 0.8
Therefore, the specific heat capacity of alcohol is 0.8, which corresponds to option B.
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Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If t...
Let the volume taken = V m3
Therefore, thermal capacity of calorimeter = V cal/goC
Mass of water = V x 1 = V m3
Mass of alcohol = V x 0.8 = 0.8 m3
Rate of cooling of water
Rate of cooling of alcohol
Since, the rate of cooling for both water and alcohol is same.
Therefore,
This is our required solution.
Therefore, thermal capacity of calorimeter = V cal/goC
Mass of water = V x 1 = V m3
Mass of alcohol = V x 0.8 = 0.8 m3
Rate of cooling of water
Rate of cooling of alcohol
Since, the rate of cooling for both water and alcohol is same.
Therefore,
This is our required solution.
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Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer?
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Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer?.
Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water in calorimeter takes 80 sec to cool down from 60oC to 48oC. If the same amount of alcohol is put into the calorimeter, it takes 59 sec to cool down from 60oC to 48oC. The magnitude of the thermal capacity of the calorimeter is equal to the magnitude of the volume of the water taken. If the relative density of alcohol is 0.8, then what is the specific heat capacity of the alcohol?a)0.5b)0.6c)0.8d)1.0Correct answer is option 'B'. Can you explain this answer?.
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