170C=170+273=443K

now, as the gas is compressed suddenly, it means that the compression is done such that there is no exchange of heat with the surroundings...

therefore, the gas undergoes an adiabatic process.

for monoatomic gas adiabatic exponent gamma=5/3=g

using the equation for adiabatic process TV^g-1=constant

if T_1,V₁ be initial temp. and volume and T_2,V₂ be final temp.. and volume.

u haveT₁V₁^g-1=T₂V₂^g-1

V₂=V₁/8

therefore

T₂=T₁8^g-1=T₁(8 )^2/3=4T₁=4(443)=    1772K

=1499 C????

Tantri is right.

But I thk thers jst an error in ur question.I mean 2 say if v consider 17^oC instead of 170C and follow the similar method TV^g-1 =Constant we get 887^oC instead of 8870C in ur option.

17^oC=290k

T₁V₁^g-1=T₂V₂^g-1

we get substituting,T₂=1160K=887^oC

oh, so 170C meant 17 degrees centigrade?????