University:
University of Colorado Boulder
Course:
PHYS 2010 | General Physics 1
Academic year:

2023
Views:

94

Pages:

1
Author:

Moscovio3qoy

Name: Date: Pressure-Temperature Relationship The pressure-temperature relationship shows a direct relationship between the pressure of a gas and its temperature when the temperature is given in the Kelvin scale. Another name for this relationship is the Gay Lussac Law. The pressuretemperature equation is below. - PRESSURE TEMPERATURE RELATIONSHIP truual pressure ( aim ) - —— JP —- P2 * | initial temperature (K ) * 'j - Veil pressure Men temperature Volume and mass constant Converting from degrees Celsius to Kelvin is easy you add 273 to the Celsius temperature. To convert from Kelvins to degrees Celsius, you subtract 273 from the Kelvin temperature. 1- r ^ TP EXAMPLE A constant volume of gas is heated from 25.0°C to 100 C. If the gas pressure starts at 1.00 atmosphere, what is the final pressure of this gas? Looking for Solution The new pressure of the gas ( P2 ) Given T = 25°C; Py I atm; T2 100°C Relationships Use pressure-temperature relation to solve for P2. Multiply each side by T 2 to isolate P2 on one side of the equation. - , - P2 ^ ^ I 00°C t 373 = 313 * P, . .4 400 = 1 atm x 373 1.25 atm , 298 The new pressure of the volume of gas is 1.25 atmospheres. Pa 3 OaHvy PRACTICE - 25°C + 273 = 298 P I T2 Convert temperature values in Celsius degrees to Kelvin: Kelvin Celsius H 73 ^ T/ 3 I. At 400 K , a volume of gas has a pressure of 0.40 atmospheres. What is the pressure of this gas at 273 K? 2. What ts the temperature of the volume of gas ( starting at 400 K with a pressure of 0.4 atmospheres ) when the pressure increases to 1 atmosphere? OOtj 3 Use the pressure lemperature relationship to fill to the temperature units. , ~ * in b c. 30.0 atm 15.0 atm 5.00 atm 5®Y j the following table with tnc correct values. Pay attention . A a. Y ^ | 100 a\yr\ P> r$PP° fL ! 8.0 atm *58 E3.00 aim ^ 293 K \>. C. iD . Poifiy i o 3&0 6 CO (c -^ ' ^ , ’ g 38 g. r ^ .OOCK +YV' ^ T, . 1B 0 c f r* . H _ 3 OoM 46 ^ ,0 &