The molar heat capacity of a gas at constant volume is C v- If n moles of the gas undergo - T change in temperature- its internal energy will change by nCv - T

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Standard XII

Chemistry

Molar and Specific Heat Capacity

The molar hea...

Question

The molar heat capacity of a gas at constant volume is $C_{v}$ . If $n$ moles of the gas undergo $Δ T$ change in temperature, its internal energy will change by $n C_{v} Δ T$

only if the change of temperature occurs at constant volume

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only if the change of temperature occurs at constant pressure

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in any process which is not adiabatic

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in any process

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Solution

The correct option is B only if the change of temperature occurs at constant volume
the molar heat capacity at constant volume is given as $C_{v}$
so the change in temperature effects only its internal energy
$d Q = d U + d W$
at $C_{v}, d W = 0 ⟹ d Q = d U$ hence the given will be satisfied at only constant volume

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The molar heat capacity of a gas at constant volume is Cv. If n moles of the gas undergo ΔT change in temperature, its internal energy will change by nCv ΔT

The correct option is B only if the change of temperature occurs at constant volumethe molar heat capacity at constant volume is given as Cvso the change in temperature effects only its internal energydQ=dU+dWatCv, dW=0⟹dQ=dU hence the given will be satisfied at only constant volume

The molar heat capacity of a gas at constant volume is $C_{v}$ . If $n$ moles of the gas undergo $Δ T$ change in temperature, its internal energy will change by $n C_{v} Δ T$