Question

11. If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas

from 273K to 373K when no work is done11. If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas

from 273K to 373K when no work is done

PLEASE GIVE WHOLE SOLUTION .​

Answer 1

so according to question we have,

Δw=0

and according to first law of thermodynamics= energy is conserved

so we have ΔQ=ΔU+ΔW

and as we know that there is no work done ,so Δw=0

then we get , ΔQ=ΔU

now,ΔU=f/2*n*R*ΔT

where f=degree of freedom and for monoatomic gas the degree of freedom is 3

n=2 mole

so we get

ΔU=3/2*2*R*(373K-273K)

after solving we get  ΔQ=ΔU=300R