Respuesta :
Answer:
876.63 mmHg
Explanation:
Step 1:
Data obtained from the question:
Initial volume (V1) = 5.3 L
Initial pressure (P1) = 735 mmHg
Initial temperature (T1) = 28°C
Final volume (V2) = constant i.e the same as the initial volume (5.3L)
Final temperature (T2) = 86°C
Final pressure (P2) =..?
Step 2:
Conversion of celsius temperature to Kelvin temperature. This is illustrated below:
Temperature (Kelvin) = temperature (celsius) + 273
Initial temperature (T1) = 28°C
Initial temperature (T1) = 28°C +273 = 301K
Final temperature (T2) = 86°C
Final temperature (T2) = 86°C + 273 = 359K
Step 3:
Determination of the new pressure of the gas. This is illustrated below:
Since the volume of the gas is constant, the new pressure of the gas can be obtained by the equation below:
P1/T1 = P2/T2
Initial pressure (P1) = 735 mmHg
Initial temperature (T1) = 301K
Final temperature (T2) = 359K
Final pressure (P2) =..?
P1/T1 = P2/T2
735/301 = P2/359
Cross multiply to express in linear form
301 x P2 = 735 x 359
Divide both side by 301
P2 = (735 x 359)/301
P2 = 876.63 mmHg
Therefore, the new pressure of the gas is 876.63 mmHg
The new pressure of the gas sample if the volume remains at 5.3 L but the temperature rises to 86oC is 876.63 mmHg.
Given:
Initial volume (V1) = 5.3 L
Initial pressure (P1) = 735 mmHg
Initial temperature (T1) = 28°C
Final volume (V2) = constant i.e the same as the initial volume (5.3L)
Final temperature (T2) = 86°C
To find:
Final pressure (P2) =?
Conversion of Celsius temperature to Kelvin temperature:
Temperature (Kelvin) = Temperature (celsius) + 273
Initial temperature (T1) = 28°C
Initial temperature (T1) = 28°C +273 = 301K
Final temperature (T2) = 86°C
Final temperature (T2) = 86°C + 273 = 359K
Determination of the new pressure of the gas:
Since the volume of the gas is constant, the new pressure of the gas can be obtained by the equation below:
P1/T1 = P2/T2
Initial pressure (P1) = 735 mmHg
Initial temperature (T1) = 301K
Final temperature (T2) = 359K
Final pressure (P2) =..?
P1/T1 = P2/T2
735/301 = P2/359
301 * P2 = 735 * 359
P2 = (735 * 359)/301
P2 = 876.63 mmHg
Therefore, the new pressure of the gas is 876.63 mmHg
Find more information about the Pressure of the gas here:
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