Answer:
Option D. 150°C
Step-by-step 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