)A sample of nitrogen gas occupies 0.35 dm3 of volume at STP. Calculate its volume at 650C and 0.75 atm pressure.
Answers
Answer:
T
2
P
1
V
1
=
T
2
P
2
V
2
P
1
=1atm
V
1
=350cm
3
T
1
=273k
P
2
=0.5atm
T
2
=550k
V
2
=?
V
2
=
T
1
P
2
P
1
V
1
T
2
V
2
=1 × 350 ×550 / 273 × 0.5
V
2
= 1409 cm
3
Therefore B is the correct option.
Given - Pressure, Temperature
Find - Volume
Solution - The volume at given conditions is 1.6 dm³
The pressure, volume and temperature are related to each other as follows -
P1V1/T1 = P2V2/T2. In the formula, P1, V1 and T1 are initial pressure, volume and temperature. P2, V2 and T2 are final pressure, volume and temperature.
At STP, P1 is 1 atm and T1 is 273 Kelvin.
T2 = 273 + 650
T2 = 923 Kelvin
Keep the values in the formula to find the value of V2.
1*0.35/273 = 0.75*V2/923
V2 = 1*0.35*923/(273*0.75)
V2 = 1.6 dm³
So, the volume at given conditions is 1.6 dm³.