Question

5. What will be the volume of a gas when
3 litres of it is cooled down from 27°C to -73°C
at constant pressure?​

Answer 1

Given:

3 litres of gas is cooled down from 27°C to -73°C at constant pressure.

To find:

Final Volume of gas ?

Calculation:

Let's use the Ideal Gas Equation:

• At constant pressure, we can say:

$\rm PV = nRT$

$\rm \implies V \propto T$

Now, taking ratios:

$\rm\implies \: \dfrac{V_{f}}{V_{i}} = \dfrac{T_{f}}{T_{i}}$

$\rm\implies \: \dfrac{V_{f}}{3} = \dfrac{27 + 273}{ - 73 + 273}$

$\rm\implies \: \dfrac{V_{f}}{3} = \dfrac{300}{ 200}$

$\rm\implies \: \dfrac{V_{f}}{3} = \dfrac{3}{ 2}$

$\rm\implies \: V_{f} = 4.5 \: litres$

So, final volume is 4.5 litres

Answer 2

Explanation:

ANSWER ✍️

_______________

Given:

3 litres of gas is cooled down from 27°C to -73°C at constant pressure.

To find:

Final Volume of gas ?

Calculation:

• Let's use the Ideal Gas Equation:

• At constant pressure, we can say:
• PV=nRT
• ⟹V∝T

Now, taking ratios:

-------------->Vf/Vi = Tf/TT

---------------->Vf/3=27+273/-73+273

---------------->Vf/3=300/200

--------------->Vf/3=3/2

--------------->Vf=4.5litres

hope this helps you