Question

calculate the volume which 4.00 L of a gas at 0° C will occupy at 100° C and the same pressure

Answer 1

Answer:

Explanation:

If you treat it as an ideal gas, then

P

V

=

n

R

T

where P is pressure, V is volume, n is number of moles, R is the gas constant and T is temperature in K.

If you assume pressure is constant, and we know that the amount of substance will remain constant, and of course the gas constant is a constant, then

V

varies directly with

T

. So for the two temperatures you can say:

V

1

.

T

1

=

V

2

.

T

2

V

2

=

V

1

.

T

1

T

2

T

2

, the higher of the two temperatures, will be 273 K and

T

1

will be 20 degrees lower, so 253 K.

Now plug in the numbers:

V

2

=

3

.

253

273

=

2.78

litres

Answer 2

Answer:

The gas occupied volume of 4 L at 0°C will occupy 5.46 L volume at temperature 100°C at constant pressure.

Explanation:

Given, the volume of the gas, V₁ = 4 L

The temperature of the gas when volume is 4L, is T₁ = 0°C = 273K

The temperature of gas, T₂ = 100° C = 373 K

When the temperature is equal to 373K then the volume of the gas is equal to V₂.

According the Charles's law, at constant pressure, the volume of the gas is directly proportional to its temperature.

$\frac{V_1}{T_1} =\frac{V_2}{T_2}$

$V_2=\frac{V_1}{T_1}\times T_2$

$V_2 =\frac{4}{273} \times 373$

$V_2=5.46 \;L$

Therefore, the volume of the gas at 100° C will be 5.46 L.

To know more about "Boyle's Law and Charles Law.​"

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