At constant pressure , the volume of a given mass of a gas is directly proportional to its temperature on Kelvin scale or absolute scale . It may be mathematically written as :
From the above two equations , we get
Analyze the problem and substitute the given quantities
Step 2 :
Using the formula:
$\frac{V_{i}}{T_{i}}$ = $\frac{V_{f}}{T_{f}}$
Where Vi = Initial Volume
Vf = Final Volume
Ti = Initial temperature
Tf = Final temperature.
Substituting the given values in the above equation, we get the answer for desired quantity.
A gas is burnt in to the flame at contant pressure, It has initial temperature of 200 C and Volume of 4L. Calculate its Volume if temperature is 360 C?
Step 1 :Given:
Initial Volume, Vi = 4 L
Final Volume, Vf = ?
Initial temperature, Ti = 200 C = 293 K
Final temperature, Tf = 360 C = 309 K.
Step 2 :Using the formula:
$\frac{V_{i}}{T_{i}}$ = $\frac{V_{f}}{T_{f}}$
Vf = $\frac{V_{i} T_{f}}{T_{i}}$
Vf = $\frac{4 L \times 309 K}{293 K}$
Answer :Final Volume Vf = 4.21 L
A sample of gas has initial temperature of 240 K and Initial volume of 128 mL. calculate its final temperature if final volume is 500 ml.
Step 1 :given: Initial volume Vi = 128 mL = 0.128 L
Final volume Vf = 500 mL = 0.5 L
Initial temperature Ti = 240 K
Final temperature Tf = ?
Step 2 :Using formula:
$\frac{V_{i}}{T_{i}}$ = $\frac{V_{f}}{T_{f}}$
Tf= $\frac{V_{f} T_{i}}{V_{i}}$
Tf = $\frac{0.5 L \times 240 K}{0.128 L}$
Answer :Final temperature Tf = 937.5 K.