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1. The problem statement, all variables and given/known data

A gas has a temperature of 310K and a pressure of 101kPa (a.) find the volume occupied by 1.25 mol of this gas, assuming its ideal. (b.) assuming the gas molecules can be approximated as a small sphere of diameter 2.5x10^-10, determine the fraction of the volume found in part (a) that is occupied by the molecules.

2. Relevant equations

PV=nRT

3. The attempt at a solution

(a.) V=nRT/P

V= (1.25mol)(8.31J/mol*K)(310K)/0.101Pa

V= 31882.43 m^3

(b.)d= 2.5x10^-10

V(sphere)= 8.18x10^-30

n=PV/RT

n= (.101Pa)(31882.43m^3)/(8.31J/mol K)(310K)

n= 1.25 mol *6.022x10^23= 7.5275x10^23 molecules

do i just multiple these together and then find the fraction from the first volume?

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# Homework Help: Ideal Gases

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