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Savatey [412]
3 years ago
6

A gas has a volume of 46.0 L when the temperature is 400. K. When the temperature changes to 500. K, what is the new volume, if

there is no change in pressure or amount of gas
Chemistry
1 answer:
Gennadij [26K]3 years ago
5 0

Answer:

The correct answer is 57.5 L

Explanation:

According to the Charles's Law, as the temperature of a gas increases at constant pressure, its volume increases (the gas is expanded when it is heated). The mathematical expresion for two conditions (1 and 2) of a gas is the following:

\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }

Where V₁ and V₂ are the volumes of the gas in two different conditions (1 and 2); T₁ and T₂ are the temperatures in Kelvin of the gas in the two conditions 1 and 2.

In this case, V₁= 46.0 L and T₁= 400 K. Then, we heat the gas until it reaches T₂=500 K. In order to calculate the new volume (V₂), we introduce the data in the mathematical expression:

V₂= \frac{V_{1} }{T_{1} } x T₂

V₂= (46.0 L/ 400 K) x 500 K

V₂= 57.5 L

We corroborate our answer is coherent because 57.5 L > 46.0 L as we know that the volume increases with the increase of temperature (from 400 K to 500 K).

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<h3>What is vapour pressure?</h3>

Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature.

Moles of Butane = mass in grams / molar mass = 11.6 / 58.12 = 0.2

Volume of O_2 (V) = 40 liter

Temperature (T) = 22°C = 22 + 273 = 295 K

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Moles of O_2 (n) can be calculated by ideal gas equation.

PV = nRT

n = 1.007 40 ÷ 0.0821 295 = 1.663

Balanced chemical reaction;

2C_4H_10 + 13O_2 ---> 8CO_2 + 10H_2O

From reaction;

13 moles O_2 require 2 moles C_4H_10

So, 1.663 moles O_2 will require = 2 x 1.663 ÷13 = 0.256 moles of C_4H_10

Thus C_4H_10 is a limiting reagent. So it will drive the yield of CO_2.

Moles of CO_2 produced = (8/2) 0.2 = 0.8 moles

Pressure of CO_2 (P) = 102 - 2.24 = 99.76 kPa = 99.76  ÷ 101.325 = 0.985 atm

Applying the ideal gas equation for CO_2,

PV = nRT

0.985 V = 0.8 0.0821 x 295

V = 19.7 liter

The volume of CO_2 produced = 19.7 liter.

Learn more about the vapour pressure here:

brainly.com/question/25699778

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