Question
Download Solution PDFA perfect gas is heated at constant pressure. The final volume of the gas becomes 1.5 times the initial volume. If its initial temperature is 30°C, the final temperature will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Gases that obey the gas laws (Charles law, Boyles law and Universal Gas Law) are called ideal gases.
Boyle’s, Charles’, and Gay Lussac's Laws describe the basic behaviour of fluids with respect to volume, pressure, and temperature.
|
Gay Lussac’s Law |
It states that at constant volume, the pressure of a fixed amount of a gas varies directly with temperature. P ∝ T |
|
Boyle's Law |
For a fixed mass of gas at constant temperature, the volume is inversely proportional to the pressure. PV = constant (If the temperature remains constant, the product of pressure and volume of a given mass of a gas is constant.) |
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Charle's Law |
For a fixed mass of gas at constant pressure, the volume is directly proportional to the Kelvin temperature. |
Calculation:
Given:
V2 = 1.5 V1 , T1 = 30° C = 303 K and P = Const.
from Charle's Law
⇒
⇒
⇒ T2 = 1.5 × 303 = 454.5 K
⇒ T2 = 181.5° C
Last updated on Mar 27, 2025
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