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portofino
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Homework Statement
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
Homework 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
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.