A gas is compressed from a volume of to a volume of at a constant pressure of 100 . Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:

Question

A gas is compressed from a volume of $2 m^{3}$ to a volume of $1 m^{3}$ at a constant pressure of 100 $N / m^{2}$ . Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:

Smart Achievers · Accepted Answer

(1)

As we know,

$Δ Q = Δ u + Δ w$ $(1st law of thermodynamics)$ $\Rightarrow Δ Q = Δ u + P Δ v$

$or 150 = Δ u + 100 (1 - 2) = Δ u - 100$

$∴$ $Δ u = 150 + 100 = 250 J$

Solution

Q.
A gas is compressed from a volume of $2 m^{3}$ to a volume of $1 m^{3}$ at a constant pressure of 100 $N / m^{2}$ . Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:

1 increases by 250 J

2 decreases by 250 J

3 increases by 50 J

4 decreases by 50 J

Ans.
(1)

As we know,

$Δ Q = Δ u + Δ w$ $(1st law of thermodynamics)$ $\Rightarrow Δ Q = Δ u + P Δ v$

$or 150 = Δ u + 100 (1 - 2) = Δ u - 100$

$∴$ $Δ u = 150 + 100 = 250 J$

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