At 7.0•C the volume of a gas is 49mL. At the same pressure,its volume is 74 mL at what temperature?
A) 3.0 Celsius
B) 16 Celsius
C) 120 Celsius
D) 150 Celsius

At 70C the volume of a gas is 49mL At the same pressureits volume is 74 mL at what temperature A 30 Celsius B 16 Celsius C 120 Celsius D 150 Celsius class=

Respuesta :

Answer:

Option D. 150°C

Explanation:

Step 1:

Data obtained from the question.

Initial temperature (T1) = 7°C = 7°C + 273 = 280K

Initial volume (V1) = 49mL

Final volume (V2) = 74mL

Final temperature (T2) =...?

Step 2:

Determination of the final temperature.

The final temperature of the gas can be obtained by using Charles' law equation since the pressure is constant. This is illustrated below:

V1/T1 = V2/T2

49/280 = 74 /T2

Cross multiply

49 x T2 = 280 x 74

Divide both side by 49

T2 = (280 x 74)/49

T2 = 423K

Step 3:

Conversion from Kelvin temperature to celsius temperature.

T(°C) = T(K) – 273

T(K) = 423K

T(°C) = 423 – 273

T(°C) = 150°C

Therefore, the new temperature of the gas is 150°C