lp30119
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The volume of a gas is 93 mL when the temperature is 91ºC. If the temperature is reduced to 0ºC without changing the pressure, what is the new volume of the gas? (Record your volume in mL!) (Answer in 4 digits)

Respuesta :

Answer: 0.070

Explanation:

pv=nrt

P

is the pressure in  

bar

, let's say.

V

is the volume in  

L

.

n

is the number of  

mol

s of gas

R

is the universal gas constant, which will be, based on our units,  

0.083145 L

bar/mol

K

.

T

is the temperature in units of  

K

.

The statement of new volume of the gas is "0.070 L."

What is the volume of the gas?

When the temperature is kept constant, the volume of a given amount of gas is inversely proportional to its pressure (Boyle's law). The simple answer is that the actual volume of a gas is the volume that a particular gas will occupy in a container at a given pressure, but the excluded volume is the space between the atoms that cannot be occupied by an atom of the gas due to their size.

We can utilise the ideal gas law if we assume ideality:

PV = nRT

where:

P is the pressure, the volume in L is V, and the number of moles of gas is n.

R is the universal gas constant, and T is the temperature.

After simplifying,

[tex]V2 = V1\;.\;\frac{T2}{T1}[/tex]

So,

[tex]V2 = 0.093 L*\frac{(0 \;+\; 273.15\; K)}{(91 \;+\; 273.15\; K)} \\\\V2 = 0.093 L*\frac{(273.15\; K)}{(364.15\; K)} \\\\V2 = 0.070 \;L\\[/tex]

Hence the correct answer is 0.070 L.

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