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Among the following, the system require higher amount of thermal energy to giving the temperature 800C:
- a)200 gm at 400C
- b)100 gm at 200C
- c)150 gm at 500C
- d)300 gm at 300C
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Among the following, the system require higher amount of thermal energ...
The amount of thermal energy required to raise the temperature of a substance depends on its mass and the temperature difference between its initial and final states. The formula for calculating the amount of thermal energy required is:
Q = m × c × ΔT
where Q is the amount of thermal energy in joules, m is the mass of the substance in grams, c is the specific heat capacity of the substance in joules per gram per degree Celsius, and ΔT is the temperature difference in degrees Celsius.
To determine which system requires the highest amount of thermal energy to reach 800C, we need to calculate the amount of thermal energy required for each option and compare them.
Calculations:
a) 200 gm at 400C
Q = 200 × 0.5 × (800 - 400) = 40,000 J
b) 100 gm at 200C
Q = 100 × 0.5 × (800 - 200) = 30,000 J
c) 150 gm at 500C
Q = 150 × 0.5 × (800 - 500) = 22,500 J
d) 300 gm at 300C
Q = 300 × 0.5 × (800 - 300) = 90,000 J
Comparing the results, we can see that option D requires the highest amount of thermal energy to reach 800C.
Conclusion:
Therefore, the correct answer is option D, 300 gm at 300C, requires the highest amount of thermal energy to reach 800C because it has the highest mass and the greatest temperature difference.
Q = m × c × ΔT
where Q is the amount of thermal energy in joules, m is the mass of the substance in grams, c is the specific heat capacity of the substance in joules per gram per degree Celsius, and ΔT is the temperature difference in degrees Celsius.
To determine which system requires the highest amount of thermal energy to reach 800C, we need to calculate the amount of thermal energy required for each option and compare them.
Calculations:
a) 200 gm at 400C
Q = 200 × 0.5 × (800 - 400) = 40,000 J
b) 100 gm at 200C
Q = 100 × 0.5 × (800 - 200) = 30,000 J
c) 150 gm at 500C
Q = 150 × 0.5 × (800 - 500) = 22,500 J
d) 300 gm at 300C
Q = 300 × 0.5 × (800 - 300) = 90,000 J
Comparing the results, we can see that option D requires the highest amount of thermal energy to reach 800C.
Conclusion:
Therefore, the correct answer is option D, 300 gm at 300C, requires the highest amount of thermal energy to reach 800C because it has the highest mass and the greatest temperature difference.
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Community Answer
Among the following, the system require higher amount of thermal energ...
Given:
a) 200 gm at 400C
b) 100 gm at 200C
c) 150 gm at 500C
d) 300 gm at 300C
To determine: The system that requires a higher amount of thermal energy to give the temperature 800C.
Solution:
The amount of thermal energy required to increase the temperature of a substance is directly proportional to the mass of the substance, temperature change, and specific heat capacity of the substance.
Q = m × C × ΔT
where,
Q = amount of thermal energy
m = mass of the substance
C = specific heat capacity of the substance
ΔT = temperature change
To determine the system that requires a higher amount of thermal energy, we need to calculate the amount of thermal energy required to increase the temperature of each substance from its initial temperature to 800C.
a) 200 gm at 400C:
ΔT = (800 - 400) = 400C
Q = m × C × ΔT
Q = 200 × 1 × 400
Q = 80,000 J
b) 100 gm at 200C:
ΔT = (800 - 200) = 600C
Q = m × C × ΔT
Q = 100 × 1 × 600
Q = 60,000 J
c) 150 gm at 500C:
ΔT = (800 - 500) = 300C
Q = m × C × ΔT
Q = 150 × 1 × 300
Q = 45,000 J
d) 300 gm at 300C:
ΔT = (800 - 300) = 500C
Q = m × C × ΔT
Q = 300 × 1 × 500
Q = 150,000 J
Therefore, the system that requires a higher amount of thermal energy to give the temperature 800C is the one with a mass of 300 gm at an initial temperature of 300C, i.e. option 'D'.
a) 200 gm at 400C
b) 100 gm at 200C
c) 150 gm at 500C
d) 300 gm at 300C
To determine: The system that requires a higher amount of thermal energy to give the temperature 800C.
Solution:
The amount of thermal energy required to increase the temperature of a substance is directly proportional to the mass of the substance, temperature change, and specific heat capacity of the substance.
Q = m × C × ΔT
where,
Q = amount of thermal energy
m = mass of the substance
C = specific heat capacity of the substance
ΔT = temperature change
To determine the system that requires a higher amount of thermal energy, we need to calculate the amount of thermal energy required to increase the temperature of each substance from its initial temperature to 800C.
a) 200 gm at 400C:
ΔT = (800 - 400) = 400C
Q = m × C × ΔT
Q = 200 × 1 × 400
Q = 80,000 J
b) 100 gm at 200C:
ΔT = (800 - 200) = 600C
Q = m × C × ΔT
Q = 100 × 1 × 600
Q = 60,000 J
c) 150 gm at 500C:
ΔT = (800 - 500) = 300C
Q = m × C × ΔT
Q = 150 × 1 × 300
Q = 45,000 J
d) 300 gm at 300C:
ΔT = (800 - 300) = 500C
Q = m × C × ΔT
Q = 300 × 1 × 500
Q = 150,000 J
Therefore, the system that requires a higher amount of thermal energy to give the temperature 800C is the one with a mass of 300 gm at an initial temperature of 300C, i.e. option 'D'.
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