JEE MAIN - Physics (2021 - 27th August Morning Shift - No. 10)
An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is :
$${1 \over T}$$
$${2 \over T}$$
$${4 \over T}$$
$${3 \over T}$$
Explanation
PT3 = constant
$$\left( {{{nRT} \over v}} \right)$$T3 = constant
T4 V$$-$$1 = constant
T4 = kV
$$ \Rightarrow 4{{\Delta T} \over T} = {{\Delta V} \over V}$$ ....... (1)
$$\Delta$$V = V$$\gamma$$$$\Delta$$T ........ (2)
comparing (1) and (2), we get
$$\gamma = {4 \over T}$$
$$\left( {{{nRT} \over v}} \right)$$T3 = constant
T4 V$$-$$1 = constant
T4 = kV
$$ \Rightarrow 4{{\Delta T} \over T} = {{\Delta V} \over V}$$ ....... (1)
$$\Delta$$V = V$$\gamma$$$$\Delta$$T ........ (2)
comparing (1) and (2), we get
$$\gamma = {4 \over T}$$
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