Question

One mole of a gas at pressure 2 Pa and temperature 37° C is heated till both pressure and volume are tripled. What is the temperature of the gas?

Options

• 620 K

• 310 K

• 2790 K

• 3100 K

Answer 1

2790 K

`"Since"  "PV"/"T" = "constant"`

`therefore ("P"_1 "V"_1)/"T"_1 = ("P"_2 "V"_2)/"T"_2`

Here T₁ = 37° C = 310 K

`therefore ("P"_1 "V"_1)/310 = (3"P"_1 xx 3"V"_1)/"T"_2`

`therefore "T"_2 = 2790  "K"`