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adell [148]
3 years ago
5

If the pressure of a gas sample is quadrupled and the absolute temperature is doubled, by what factor does the volume of the sam

ple change?
A) 2

B) 1/4

C) 1/8

D) 1/2
Chemistry
2 answers:
Natasha_Volkova [10]3 years ago
7 0

Answer:

D) 1/2

Explanation:

Using Ideal gas equation for same mole of gas as

\frac {{P_1}\times {V_1}}{T_1}=\frac {{P_2}\times {V_2}}{T_2}

Given,

P₂ = 4P₁

T₂ = 2T₁

Using above equation as:

\frac {{P_1}\times {V_1}}{T_1}=\frac {{P_2}\times {V_2}}{T_2}

\frac {{P_1}\times {V_1}}{T_1}=\frac {{4\times P_1}\times {V_2}}{2\times T_1}

V_2=\frac{1}{2}\times V_1

<u>The volume change by half of the original.</u>

Sophie [7]3 years ago
4 0

¹/₂

<h3>Further explanation</h3>

<u>Given: </u>

  • P₂ = 4P₁
  • T₂ = 2T₁

<u>Question: </u>

By what factor does the volume of the sample change?

<u>The Process: </u>

We use an equation of state for an ideal gas:  

\boxed{\boxed{ \ \frac{pV}{T} = constant \ }}

  • p = pressure (in Pa)
  • V = volume (in m³)
  • T = temperature (in Kelvin)

For the same amount of substances in two states, the equations for state-1 and state-2 are as follows:

\boxed{ \ \frac{p_2V_2}{T_2} = \frac{p_1V_1}{T_1} \ }

Let us use the equation above to see the relationship between volumes. Enter all the information in the equation.

\boxed{ \ \frac{4p_1V_2}{2T_1} = \frac{p_1V_1}{T_1} \ }

\boxed{ \ \frac{4V_2}{2} = V_1} \ }

\boxed{ \ 2V_2 = V_1} \ }

\boxed{ \ V_2 = \frac{1}{2}V_1} \ }

Thus by factor ¹/₂, the volume of the sample will change.

- - - - - - - - - -

Notes

\boxed{ \ \frac{pV}{nT} = R \ } \rightarrow \boxed{ \ pV = nRT \ }

n = moles of ideal gas

R = the molar gas constant (in J mol⁻¹ K⁻¹)

<h3>Learn more </h3>
  1. To what temperature would you need to heat the gas to double its pressure?  brainly.com/question/1615346#
  2. The volume of Kr (in liters) brainly.com/question/6043528
  3. The energy density of the stored energy brainly.com/question/9617400  

Keywords: the pressure of a gas sample, an ideal gas, volume, constant, moles, equation of state , quadrupled, the absolute temperature, doubled, by what factor, change

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