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Helga [31]
3 years ago
6

The volume of an ideal gas is increased from 0.61 m3 to 3.9 m3 while maintaining a constant pressure of 970 Pa (1 Pa = 1 N/m2).

If the initial temperature of the gas is 65 K, (a) What is the final temperature of the gas?
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
7 0

Answer:

Final Temperature of the gas =  416K

Step-by-step explanation:

Using the Charles Law;

V₁/T₁ = V₂/T₂

V₁ = 0.61m³, V₂=3.9m³, T₁= 65K, T₂ = ?

T₂ = V₂T₁/V₁ = (3.9 x 65)/0.61 = 415.57377K ≅ 416K

LekaFEV [45]3 years ago
3 0

Answer:

416K

Step-by-step explanation:

Given:

Initial volume V_{1}= 0.61 m^3 => 610L

Final volume V_{2}= 3.9 m^3 => 3900L

Initial temperature T_{1} = 65 K

Final temperature T_{2}=?

Charles law states that the volume of an ideal gas at constant pressure is directly proportional to the absolute temperature.

Therefore,

V_{1} / T_{1} = V_{2} / T_{2}

610/ 65 = 3900 / T_{2}

T_{2} = (3900 x 65) / 610

T_{2}=  415.5 K ≈ 416K

The final temperature of the gas is 416K

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