Question
(1.)
130Cm of a gassy 20 degree celsiusi exert a pressure of 750mmHg. Calculate It's Pressure if it's Volume is increased to 150cm at 35 degree celsiusi ?
Question
(2.)
To what temperature must a given mass of Nitrogen at 0 degree celsiusi be heated so that both it's Volume and Pressure will be doubled ?
Question 1
Unit conversions:
130 cm3 = 130 mL = 0.130 L
20oC = 273 + 20 = 293 K
150 cm3 = 150 mL = 0.150 L
35oC = 273 + 35 = 308 K
According to the combined gas law,
"\\frac{P_1V_1}{T_1}=\\frac{P_2V_2}{T_2};"
"P_2=\\frac{P_1V_1T_2}{T_1V_2}=\\frac{750\\ mmHg\\times0.130\\ L\\times308\\ K}{293\\ K\\times0.150\\ L}=683\\ mmHg"
Answer: 683 mmHg
Question 2
0oC = 273 K
Let P1 and V1 be 1 atm and 1 L, respectively. Then, P2 and V2 are equal to 2 atm and 2 L, respectively. According to the combined gas law,
"\\frac{1\\ atm\\times1\\ L}{273\\ K}=\\frac{2\\ atm\\times2\\ L}{x}."
Solving for x,
"x=\\frac{273\\ K\\times2\\ atm\\times2L}{1\\ atm\\times1\\ L}=1092\\ K=1092-273=819\\degree{C}"
Answer: 819oC
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