Question

1 mole of an ideal monoatomic gas initially at 1 atm and 300 K experiences a process by which pressure is doubled. The nature of the process is unspecified but 6. ΔU = 900 cal. The final volume will be ______ l.

[Given : R = 0.08 atm lit. I mol/K = 2 Cal/K/mol J]

Options

• 24

• 16

• 15

• 25

Answer 1

1 mole of an ideal monoatomic gas initially at 1 atm and 300 K experiences a process by which pressure is doubled. The nature of the process is unspecified but 6. ΔU = 900 cal. The final volume will be 24 l.

Explanation:

n = 1

P₁ = atm T = 300 K

P₂ = 2 atm, monoatomic `"C"_(v_"m") = 3/2`R

ΔU = `"nC"_(v_"m") Delta "T"`

`900 = 1 xx 3/2 "R"("T"_2 - 300)`

`=> "T"_2 = 600` K

`"V"_2 = ("nRT"_2)/"P"_2`

`= (1 xx 0.08 xx 600)/2`

= 24 l