A gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. When 254 kcal of heat is added to the gas, the volume is observed to increase slowly from 12.0 m3 to 16.2 m3 . Part A Calculate the work done by the gas. Express your answer with the appropriate units. W = nothing nothing Request Answer Part B Calculate the change in internal energy of the gas. Express your answer with the appropriate units. ΔU = nothing nothing

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Answer:

Explanation:

Atmospheric pressure P = 10⁵ N / m ²

change in volume Δ V = 16 - 12 = 4 m³

work done by gas against constant pressure

W = P  Δ V

Putting the values above

work done = 10⁵ x 4

W = 4 x 10⁵ J .

B ) Heat added Q = 254 x 10³ cals

= 254 x 4.2 x 10³ J

= 10.66 x 10⁵ J

According to first law of thermodynamics

Q = Δ E + W

Q is heat energy added , Δ E is increase in internal energy and W is work done by gas.

Putting the values in the equation above

10.66 x 10⁵ =  Δ E +4 x 10⁵

Δ E = 6.66 x 10⁵ J .

A gas is enclosed in a cylinder maintained at atmospheric pressure absorbs 254 kcal of heat and its volume increases from 12.0 m³ to 16.2 m³. The work done by the gas is -1.02 × 10⁵ kcal and the change in the internal energy is -1.01 × 10⁵ kcal.

A gas enclosed in a cylinder maintained at atmospheric pressure (P = 101325 Pa) has a volume increase from 12.0 m³ to 16.2 m³.

We can calculate the work done by the gas (w) using the following expression.

[tex]w = -P \times \Delta V = -101,325Pa \times (16.2m^{3}-12.0m^{3} )= -4.26 \times 10^{5} J \times \frac{1kcal}{4184J} = -1.02 \times 10^{5} kcal[/tex]

254 kcal of heat is added to the gas, so q = 254 kcal. We can calculate the change in the internal energy (ΔE) using the following expression.

[tex]\Delta E = q + w = 254 kcal + (-1.02 \times 10^{5} kcal) = -1.01 \times 10^{5} kcal[/tex]

A gas is enclosed in a cylinder maintained at atmospheric pressure absorbs 254 kcal of heat and its volume increases from 12.0 m³ to 16.2 m³. The work done by the gas is -1.02 × 10⁵ kcal and the change in the internal energy is -1.01 × 10⁵ kcal.

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