Question

If the pressure is 100,000 Pa, the volume is 2 m3, R is 8.314, and the temperature is 100 K, which is closest to the number of moles (n) of gas?

A. 1
B. 240
C. 400
D. 20

Answer 1

We can solve the problem by using the ideal gas law:

`pV=nRT`

where

`p=100000 Pa` is the gas pressure

`V=2 m^3` is the gas volume

n is the number of moles

`R=8.314 J/mol K` is the gas constant

`T=100 K` is the absolute temperature of the gas

By rearranging the equation and substituting the numbers, we find the number of moles of the gas:

`n=(pV)/(RT)= ((100000 Pa)(2 m^3))/((8.314 J/mol K))(100 K))=240.5 mol`

so, the correct answer is

B. 240