A gas has the volume of 45mL at 25 C is heated to 50 C. What is the new volume of the gas? P1V1 = P2V2 V1/T1 = V2/T2 PV = nRT V1/T1 x V2/T2

Answer:
Option b (V1/T1 = V2/T2) is the right alternative or the new volume will be "0.048 L".
Explanation:
The given values are:
Temperature,
T₁ = 25°C
or,
= 298.15 K
T₂ = 50°C
or,
= 323.15 K
Volume,
V₁ = 45 mL
or,
= 0.045 L
V₂ = ?
As we know,
⇒ [tex]\frac{V_1}{T_1} =\frac{V_2}{T_2}[/tex]
Or,
⇒ [tex]V_2=\frac{V_1\times T_2}{T_1}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{0.045\times 323.15}{298.15}[/tex]
⇒ [tex]=\frac{14.541}{298.15}[/tex]
⇒ [tex]=0.048 \ L[/tex]