Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A vertical cylinder with a base of area S = 10 cm 2 is filled with gas. The cylinder is fitted with a piston weighing G = 20 kgf which can move without friction. The original volume of the gas is V 0 = 11.21 and the temperature t 0 = 0ºC.
What quantity of heat is needed to raise the temperature of the gas in these conditions by 10ºC if the thermal capacity of this mass of gas with the piston secured in the initial position is C V = 5 cal/deg? Disregard the pressure of the outside atmosphere.
Text Solution
Verified by ExpertsThe correct answer is:
A
To determine the heat required to raise the temperature of the gas by 10ºC, we can use the formula for heat transfer at constant volume:
Q = C_V \times \Delta T
where:
- Q = heat absorbed by the gas (in calories)
- C_V = thermal capacity of the gas (in cal/deg)
- \Delta T = change in temperature (in degrees Celsius)
Given the values:
- C_V = 5 cal/deg
- \Delta T = 10ºC
Substituting the values into the formula:
Q = 5 \text{ cal/deg} \times 10 \text{ deg} = 50 \text{ cal}
Therefore, the quantity of heat needed to raise the temperature of the gas by 10ºC is 50 cal.
Q = C_V \times \Delta T
where:
- Q = heat absorbed by the gas (in calories)
- C_V = thermal capacity of the gas (in cal/deg)
- \Delta T = change in temperature (in degrees Celsius)
Given the values:
- C_V = 5 cal/deg
- \Delta T = 10ºC
Substituting the values into the formula:
Q = 5 \text{ cal/deg} \times 10 \text{ deg} = 50 \text{ cal}
Therefore, the quantity of heat needed to raise the temperature of the gas by 10ºC is 50 cal.
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