An ideal gas has a specific heat at constant pressure Cp = 7R/2. The gas is kept in a closed vessel of volume 0.016 m3, at a temperature of 400 K and a pressure of 4×106Pa. Heat energy of 7×104J is supplied to the gas. Calculate temperature of the gas in K.

ΔQ=nCVΔT7×104=PVRT×52R×ΔT104×1120=4×106×0.016×ΔTΔT=175 , T=575K

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An ideal gas has a specific heat at constant pressure Cp = 7R/2. The gas is kept in a closed vessel of volume 0.016 m³, at a temperature of 400 K and a pressure of $4 \times 10^{6} P a$ . Heat energy of $7 \times 10^{4}$ J is supplied to the gas. Calculate temperature of the gas in K.

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$Δ Q = n C_{V} Δ T$

$7 \times 10^{4} = \frac{P V}{R T} \times \frac{5}{2} R \times Δ T$

$10^{4} \times 1120 = 4 \times 10^{6} \times 0.016 \times Δ T$

$Δ T = 175, T = 575 K$

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