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?

Answer 1

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

You could have specified a gas in a PISTON, whose volume would decrease with increased pressure and increase with increased temperature, but this would not have adequately specified the problem.

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

#(P_1V_1)/T_1=(P_2V_2)/T_2#

Solving for #V_2=(P_1V_1)/T_1xxT_2/P_2#

#=(1.5*atmxx3.0*Lxx303*K)/(293*Kxx2.5*atm)~=1.9*L#

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Answer 2

Avery Adams

You can use the combined gas law to determine the volume. The combined gas law equation is ( \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} ), where ( P_1 = 1.5 , \text{atm} ), ( V_1 = 3.0 , \text{L} ), ( T_1 = 20^\circ \text{C} + 273.15 = 293.15 , \text{K} ), ( P_2 = 2.5 , \text{atm} ), ( T_2 = 30^\circ \text{C} + 273.15 = 303.15 , \text{K} ). Solve for ( V_2 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.