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Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is?
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Coefficient of volume expansion of mercury is 0.18×10to the power-3pe...
Understanding Volume Expansion
The coefficient of volume expansion quantifies how much a substance expands when its temperature increases. For mercury, the coefficient is given as 0.18 × 10^-3 per degree Celsius.
Initial Conditions
- Density of mercury at 0°C: 13.6 g/cc
- Temperature change: From 0°C to 200°C, which is a change of 200°C.
Volume Expansion Calculation
To find the new density at 200°C, we first calculate the change in volume using the formula:
- Change in volume (ΔV) = V0 × β × ΔT
Where:
- V0 = initial volume
- β = coefficient of volume expansion
- ΔT = change in temperature
Assuming the initial volume (V0) is 1 cc for convenience:
- ΔV = 1 cc × (0.18 × 10^-3) × (200) = 0.036 cc
New volume (V) at 200°C:
- V = V0 + ΔV = 1 cc + 0.036 cc = 1.036 cc
Calculating New Density
Density is defined as mass divided by volume. Since the mass of mercury remains constant, we can find the new density (D) at 200°C:
- Mass of mercury = Initial density × Initial volume = 13.6 g/cc × 1 cc = 13.6 g
Now, using the new volume:
- D = Mass / New volume = 13.6 g / 1.036 cc ≈ 13.13 g/cc
Final Result
- The density of mercury at 200°C is approximately 13.13 g/cc.
This reduction in density is due to the expansion of mercury with increasing temperature, demonstrating the principles of thermal expansion.
The coefficient of volume expansion quantifies how much a substance expands when its temperature increases. For mercury, the coefficient is given as 0.18 × 10^-3 per degree Celsius.
Initial Conditions
- Density of mercury at 0°C: 13.6 g/cc
- Temperature change: From 0°C to 200°C, which is a change of 200°C.
Volume Expansion Calculation
To find the new density at 200°C, we first calculate the change in volume using the formula:
- Change in volume (ΔV) = V0 × β × ΔT
Where:
- V0 = initial volume
- β = coefficient of volume expansion
- ΔT = change in temperature
Assuming the initial volume (V0) is 1 cc for convenience:
- ΔV = 1 cc × (0.18 × 10^-3) × (200) = 0.036 cc
New volume (V) at 200°C:
- V = V0 + ΔV = 1 cc + 0.036 cc = 1.036 cc
Calculating New Density
Density is defined as mass divided by volume. Since the mass of mercury remains constant, we can find the new density (D) at 200°C:
- Mass of mercury = Initial density × Initial volume = 13.6 g/cc × 1 cc = 13.6 g
Now, using the new volume:
- D = Mass / New volume = 13.6 g / 1.036 cc ≈ 13.13 g/cc
Final Result
- The density of mercury at 200°C is approximately 13.13 g/cc.
This reduction in density is due to the expansion of mercury with increasing temperature, demonstrating the principles of thermal expansion.
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Coefficient of volume expansion of mercury is 0.18×10to the power-3pe...
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Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is?
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Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is?.
Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficient of volume expansion of mercury is 0.18×10to the power-3per degree Celsius.If the density of mercury at 0 degree Celsius is 13.6g/cc,then it's density at 200 degree Celsius is?.
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