Question

An air sample in an elastic bag has a volume of 3. 8 L when the temperature is 10 C. What will be the volume in liters when it is heated to 150 C?

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

At 10°C :

• Volume = 3.8 L

Temperature (in Kelvin) :

`\qquad \tt \dashrightarrow \: 10 + 273`

`\qquad \tt \dashrightarrow \: 283 \: k`

Now,

Temperature in Kelvin (at 150° C)

`\qquad \tt \dashrightarrow \:150 + 173`

`\qquad \tt \dashrightarrow \:323 \: k`

Now, let's find the volume (x) [ assume pressure to be constant ]

`\qquad \tt \dashrightarrow \: (V_1)/(T_1) = (V_2)/(T_2)`

`\qquad \tt \dashrightarrow \: (3.8)/(283) = (x)/(323)`

`\qquad \tt \dashrightarrow \: (3.8)/(283) * 323 = {x}`

`\qquad \tt \dashrightarrow \: {x} \approx4.34 \: \: litres`