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If the pressure of a gas is 2.000 × 10^4 kPa, what is its pressure in atm?


A.) 26.32 atm

B.) 197.4 atm

C.) 1.013 ´ 10^6 atm

D.) 2.026 ´ 10^6 atm

Verified Answer :

meerkat18

The conversion of pressure from kilopascal to atmosphere can be done by the dimensional analysis using the proper conversion factor. Shown below is the calculation,
                            (2.000 x 10^4 kPa)( 1 atm / 101.324 kPa) = 197.38 atm
Thus, the pressure in atmosphere is 197.38 atm.

Answer: The correct answer is Option B.

Explanation:

Pressure of the gas is defined as the force exerted by the gas particles on the walls of the container. It is expressed in various terms like 'atm', 'mmHg', 'kiloPascals' etc..

All these units are inter changeable.

We are given:

Pressure of the gas = \(2.000\times 10^{4}kPa\)

Converting this unit of pressure into 'atm' by using conversion factor:

1 kPa = 101.325 atm

\(\Rightarrow (2.000\times 10^4)kPa\times (\frac{1atm}{101.325kPa})\\\\\Rightarrow 197.4atm\)

Hence, the correct answer is Option B.

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