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Question

# Nitrogen $(N_2)$ initially at $40^{\circ} \mathrm{F} \text { and } 14.7 \mathrm{lbf} / \mathrm{in}^{2}$ fills a closed, rigid, $6.5-ft^3$ tank fitted with a paddle wheel. During a process, the paddle wheel provides 5 Btu of energy transfer by work to the gas. The gas temperature reaches $80^\circ F$ at the end of the process. Assuming ideal gas behavior, determine the mass of nitrogen, in lb, and the heat transfer, in Btu. Kinetic and potential energy effects can be ignored.

Solution

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$\text{\textcolor{#4257b2}{\text{Given\;data:}}}$

$p_1=14.7\;\frac{\text{ibf}}{\text{in}^2}$

$T_1=40 ^\circ \text F\to 499.67^\circ \text R$

$T_2=80 ^\circ \text F\to 539.67^\circ \text R$

$V=6.5\;\text{ft}^3\to11232\;\text{in}^3$

$W=-5\;\text{Btu}$

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