(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A gas sample enclosed in a rigid metal container at room temperature (20 C) has an absolute pressure p_1. The container is immersed in hot water until it warms to 40 C. What is the new absolute pressure p_2?

Express your answer in terms of p_1

2. Relevant equations

PV = nRT where P is pressure in pascals, V is volume, n is the number of moles, R is constant = 8.314, T is temperature in kelvin

convert celsius to kelvin

K=C+273.15 where K is temp in kelvin, and C is temp in celsius

3. The attempt at a solution

since this problem is isovolumetric, the volume remains constant.

p_1 = nRT_1/V where T_1 = 20C = 293 K assuming n,R,V are constant

p_2 = nRT_2/V where T_2 = 40C = 313 K assuming n, R, V are constant

how do i put p_2 in terms of p_1, do i just solve p_1 in terms of say V and substitute it in for V in the p_2 equation?

doing so i get:

V =nRT_1/p_1 = 293/p_1 asuming n and R are constant

thus substituting V for V in the p_2 equation i get:

p_2 = nRT_2/V = 313/(292/p_1) = 313p_1/292

is that correct? i'm almost certain it is not correct.

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# Homework Help: Ideal gas law - isovolumetric problem

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