A gas has a volume of 4.00 L at 0 degree Celsius. what final temperature, in...

A gas has a volume of 4.00 L at 0 degree Celsius. what final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if n and P do not change?
(a) 1.50 L
(b) 1200 ml

Expert Solution

As per charles law, if pressure is kept constant, temperature is directly proportional to volume.

T₁/T₂ =V₁/V₂

T₂ = T₁v₂ / V₁ where temperature in kelvin and volume in litres.

1)when V₂ = 1.5L, T₂= 273.15 *1.5 / 4

=409.725 /4

=102.43 K = -170.71⁰C

(0.0k = -273.15⁰C , 0⁰C = 273.15K)

temperature in celsius = temperature in kelvin - 273.15

T_c =102.43 - 273.15 = -170.71⁰C

2) when v=1200ml = 1.2 litres

T₂ =273.15 *1.2 /4 =327.78/4

=81.945K

T_c = 81.945 -273.15 = -191.205⁰C

queen_honey_blossom answered 11 months ago

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