Question

At STP a given quantity of gas occupies 5.00 litres. What is the temperature of this same quantity of gas at the same pressure when it occupies a volume of 10 litres?

Answer 1

Given here, ${ V }_{ 1 }$ = 5 Litres and ${ V }_{ 2 }$ = 10 Litres

At STP ${ T }_{ 1 }$ = 273 K and ${ T }_{ 2 }$ = ?

We know that,

$\frac { { V }_{ 1 } }{ { T }_{ 1 } } \quad =\quad \frac { { V }_{ 2 } }{ { T }_{ 2 } }$

$\frac { 5 }{ 273 } \quad =\quad \frac { 10 }{ { T }_{ 2 } }$

$5{ T }_{ 2 }\quad =\quad 273\quad \times \quad 10$

${ T }_{ 2 }\quad =\quad \frac { 273\quad \times \quad 10 }{ 5 }$

${ T }_{ 2 }\quad =\quad 546\quad K$

Or ${ T }_{ 2 }\quad =\quad { 273 }^{ \circ }C$