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jarptica [38.1K]
3 years ago
6

A gas occupies 11.2 liters at 0.860 atm. What is the pressure if the volume becomes 15.0 L? (Boyle)

Chemistry
2 answers:
weeeeeb [17]3 years ago
5 0

Given:

Initial Volume \sf (V_1) = 11.2 L

Initial Pressure \sf (P_1) = 0.860 atm

Final Volume \sf (V_2) = 15.0 L

To Find:

Final Pressure \sf (P_2)

Concept/Theory:

\bf{ \underline{Boyle's  \: Law} \:  (Pressure  - Volume \:  Relationship)}

"At constant temperature, the pressure of a fixed amount of gas varies inversely with the volume of the gas."

\bf{P \propto \dfrac{1}{V}  \: (at \:  constant \:  T \:  and \:  n)}

It can be also stated as "At constant temperature, the product of pressure and volume of fixed amount of a gas remains constant."

\bf{PV = Constant}

If the initial pressure and volume of a fixed amount of gas at constant temperature are \sf (P_1) & \sf (V_1) and final pressure of the gas is \sf (P_2) and volume occupied is \sf (V_2), then according to Boyle's law;

\bf{P_1V_1 = P_2V_2 = Constant}

OR

\bf{\dfrac{P_1}{P_2} = \dfrac{V_2}{V_1}}

Answer:

By using Boyle's Law, we get:

\rm \longrightarrow \dfrac{0.860}{P_2} = \dfrac{15.0}{11.2} \\  \\ \rm \longrightarrow P_2 =  \dfrac{11.2}{15.0}  \times 0.860 \\  \\  \rm \longrightarrow P_2 =  \dfrac{9.632}{15.0}  \\  \\ \rm \longrightarrow P_2 = 0.642 \: atm

\therefore Final Pressure \sf (P_2) = 0.642 atm

Sloan [31]3 years ago
4 0

Answer:

<h2>0.642 atm </h2>

Explanation:

The new pressure can be found by using the formula for Boyle's law which is

P_1V_1 = P_2V_2

Since we are finding the new pressure

P_2 =  \frac{P_1V_1}{V_2}  \\

From the question we have

P_2 =  \frac{11.2 \times 0.86}{15}  =  \frac{9.632}{15}  \\  = 0.64213333...

We have the final answer as

<h3>0.642 atm</h3>

Hope this helps you

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