Question

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 ?

Answer 1

Question 1

Unit conversions:

130 cm³ = 130 mL = 0.130 L

20^oC = 273 + 20 = 293 K

150 cm³ = 150 mL = 0.150 L

35^oC = 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

0^oC = 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: 819^oC