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Ahat [919]
2 years ago
12

a gas expands from 266 mL to 983 mL at constant temperature. calc the work done (in joules) by the gas if it expands against a v

acuum. also call the work done (in joules) by the gas if it expands against a constant pressure of 4.09 atm.
Chemistry
1 answer:
Mkey [24]2 years ago
6 0

Answer:

w₁ = 0 J

w₂ = -297 J

Explanation:

Step 1: Given data

Initial volume: 266 mL (0.266 L)

Final volume: 983 mL (0.983 L)

Step 2: Calculate the work done (in joules) by the gas if it expands against a vacuum

We will use the following expression.

w₁ = -P₁ × ΔV

Since the gas expands against a vacuum, P₁ = 0. Thus, w₁ = 0 J

Step 3:  Calculate the work done (in joules) by the gas if it expands against a constant pressure of 4.09 atm

We will use the following expression.

w₂ = -P₂ × ΔV

w₂ = -4.09 atm × (0.983 L-0.266 L) = -2.93 atm.L

Then, we convert w₂ to Joule using the conversion factor 1 atm.L = 101.325 J.

-2.93 atm.L × 101.325 J/1 atm.L = -297 J

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When CO2 decomposes into oxygen and carbon, it gives a gram ratio of 2.67:1 O2:C. When a 32.4g of CO2 decomposes, how many grams
Rufina [12.5K]

Answer : The mass of carbon and oxygen produced is 8.83 g and 23.6 g respectively.

Explanation :

Law of conservation of mass : It states that mass can neither be created nor be destroyed but it can only be transformed from one form to another form.

This also means that total mass on the reactant side must be equal to the total mass on the product side.

The balanced chemical reaction will be,

CO_2\rightarrow O_2+C

As we are given:

\text{Mass of }O_2}:\text{Mass of }C=2.67:1{

According to the law of conservation of mass,

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Now we have to calculate the mass of O_2 and C.

\text{Mass of }O_2=\frac{\text{Given mass of }CO_2}{\text{Total mass of }CO_2}\times \text{Given mass of }O_2=\frac{32.4g}{3.67g}\times 2.67=23.6g

and,

\text{Mass of }C=\frac{\text{Given mass of }CO_2}{\text{Total mass of }CO_2}\times \text{Given mass of }C=\frac{32.4g}{3.67g}\times 1=8.83g

Therefore, the mass of carbon and oxygen produced is 8.83 g and 23.6 g respectively.

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