In a certain region of space there are only 5 gaseous there is 3 K. The pressure of this gas is
`(k_(B)=1.38xx10^(-23Jmol^(-1)K^(-1)))`

Options

A. `20.7xx10^(-16)Nm^(-2)`
B. `20.4xx10^(-17)Nm^(-2)`
C. `10.7xx10^(-16)Nm^(-2)`
D. `10.7xx10^(-17)Nm^(-2)`

Answer

B

Explanation

Let n be the numbe of molecules in the gas `PV=nK_(B)T`
or `P=(nK_(B)T)/(V)`
Here, `n/V=5cm^(-3)=5xx10^(6)m^(-3)`
`k_(B)=1.38xx10^(-23)Jmol^(-1)K^(-1)`
`thereforeP=5xx10^(6)xx1.38xx10^(-23)xx3`
`= 20.7 xx10^(-17) N m^(-2)`