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RoseWind [281]
3 years ago
7

80.5 J of heat are added to 0.222 moles of a diatomic gas. It expands, doing work, and the temperature goes up by 12.0 K. How mu

ch work did the gas do? (Unit=J)
Physics
1 answer:
OLga [1]3 years ago
4 0

The work done by the gas is 25.1 J

Explanation:

The change in internal energy of a diatomic gas is given by the equation

\Delta U = \frac{5}{2}nR\Delta T

where:

n is the number of moles

R is the gas constant

\Delta T is the change in temperature

For the gas in this problem:

n = 0.222 mol

R=8.314 J/mol K

\Delta T=12.0 K

Substituting,

\Delta U = \frac{5}{2}(0.222)(8.314)(12.0)=55.4 J

Now we can find the work done by the gas using the 1st law of thermodynamics:

\Delta U = Q-W

where:

Q = +80.5 J is the heat added to the gas

\Delta U = +55.4 J is the change in internal energy

W is the work done by the gas

And solving for W,

W=Q-\Delta U = 80.5-(55.4)=25.1 J

And since it is positive, it means that the work is done BY the gas.

Learn more about thermodynamics:

brainly.com/question/4759369

brainly.com/question/3063912

brainly.com/question/3564634

#LearnwithBrainly

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