How do you determine the volume if 1.5 atm of gas at 20° C in a 3.0 L vessel are heated to 30° C at a pressure of 2.5 atm?

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How do you determine the volume if 1.5 atm of gas at 20° C in a 3.0 L vessel are heated to 30° C at a pressure of 2.5 atm?

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Answer 1 · 2017-05-31T18:55:30

?? The volume is presumably constant..........

Explanation:

The problem has not been properly specified. You could have specified a gas in a PISTON, whose volume would decrease with increased pressure, and increase with increased temperature.

For such a system, we would use the $combined gas law:$ $"combined gas law:"$

$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$ $(P_1V_1)/T_1=(P_2V_2)/T_2$

Solving for $V_{2} = \frac{P_{1} V_{1}}{T_{1}} \times \frac{T_{2}}{P_{2}}$ $V_2=(P_1V_1)/T_1xxT_2/P_2$

$= \frac{1.5 \cdot a t m \times 3.0 \cdot L \times 303 \cdot K}{293 \cdot K \times 2.5 \cdot a t m} ≅ 1.9 \cdot L$ $=(1.5*atmxx3.0*Lxx303*K)/(293*Kxx2.5*atm)~=1.9*L$

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How do you determine the volume if 1.5 atm of gas at 20° C in a 3.0 L vessel are heated to 30° C at a pressure of 2.5 atm?

1 Answer

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