Jeff wants to find the volume of a gas in a cylinder. He knows that at 28°C and a pressure of 1 atm, the volume of the gas was 6.0 L. He measures the temperature and pressure and finds that the temperature is 39°C and the pressure has remained at 1 atm. What would be the best for Jeff to use to find the volume of the gas?

by using ideal gas law

Explanation:

ideal gas law:

PV=nRT

where:

P is pressure measured in Pascal (pa)

V is volume measured in letters (L)

n is number of moles

R is ideal gas constant

T is temperature measured in Kelvin (K)

by applying the given:

P (initial) V (initial) = nRT (initial)

P (final) V (final) = nRT (final)

nR is constant in both equations since same gas

then,

P (initial) V (initial) / T (initial) = P (final) V (final) / T (final)

then by crossing multiply both equations

V (final) = { (P (initial) V (initial) / T (initial)) T (final) } / P (final)

P (initial) = P (final) = 1 atm = 101325 pa

V (initial) = 6 L

T (initial) = 28°c = 28+273 kelvin

T (final) = 39°c = 39+273 kelvin

by substitution

V (final) = 6.21926 L

Charles Law