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Sample of krypton gas occupies 75.0 mL at 0.400 atm. If the temp remained constant, what volume would the krypton occupy at A. 4.00 atm; B. 0.0400 atm; C. 765 torr; D. 4.00 torr; E. 3.50x10^-2 torr?

Sagot :

The correct answer for  volume would the krypton occupy are 29.8 mL , 5375 mL , 6.5 * 10^ 5 mL .

We can solve this problem by using Boyle's Law, which states that:

"For a fixed mass of an ideal gas kept at constant temperature, the pressure

of the gas is inversely proportional to its volume"

Mathematically:

pV = const. where

p is the pressure of the gas

V is its volume

We can rewrite the formula as

PiVi = P2V2

For the gas in this problem:

P=0.400atm is the initial pressure

Vi 75.0mL is the initial volume

765mm Hg 1.006am is the final pressure (using the conversion factor

1atm = 760atm )

Solving for V2, we find the final volume:

V 2 =p1vi/ p2 =(0.400) (75.0)/ 1.006 = 29.8mL

We can solve this part by using again the equation:

Where in this case we have:

p 1= 0.400at is the initial pressure

V_{1} = 75mL is the initial volume

p_{2} = 4, nm*H_{0} is the final pressure

Converting into atmospheres,

p_{2} = 4 Hg 7mm/d -0.00536m

And solving for V2, we find the final volume:

V_{2} = (p_{1}*V_{1})/p_{2} = ((0.4)(75))/0.0056 = 5357mL

e)

As before, we use Boyles' Law:

p{1}*V{1} = p{2}*V{2}

In this part we have:

p{1} = 0.4atm is the initial pressure of the gas

V{1} = 75mL is the initial volume of the gas

p{2} = 3.5 * 10 ^ - 2   torr

1 torr is equivalent to 1 mmHg, so the conversion factor is the same as before.

therefore the final pressure in atmospheres is:

p2=3.50 *10^-2 2mm Hg 760mmHg/atm 4.6-10-atm

And so, the final volume of the krypton gas is:

V{2} = (p{1}V{1})/p{2} = ((0.4)(75))/(4.6 * 10 ^ - 5) = 6.5 * 10 ^ 5 * mL.

Learn more about boyle's law here :-

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