Question

Find the value of Vi Express your answer to two significant figures and include the appropriate units Review 5.2 g of helium gas follows the process 1→2→3 shown in the figure (Figure 1). You may want to review (Page 490) Units Figure 1 of 1> Submit Request Answen 2 P2657°O Isothermal Part B Find the value of Va 2 atm 37°C Express your answer to two significant figures and include the appropriate units

Answer 1

m = given mass of helium = 5.2 g

M = molar mass = 4 g/mol

n = number of moles

number of moles is given as

n = m/M

n = 5.2/4

n = 1.3

P₁ = 2 atm = 2 x 101325 Pa = 202650 Pa

V₁ = ?

T₁ = 37 C = 37 + 273 = 310 K

Using the equation

P₁ V₁ = n R T₁

(202650) V₁ = (1.3) (8.314) (310)

V₁ = 0.0165 m³

B)

for isothermal process , temperature remain same

hence T₃ = T₂ = 657 C

P₃ = 2 atm = 2 x 101325 Pa = 202650 Pa

V₃ = ?

T₃ = 657 C = 657 + 273 = 930 K

Using the equation

P₃ V₃ = n R T₃

(202650) V₃ = (1.3) (8.314) (930)

V₃ = 0.0496 m³

C)

P₂ = ?

V₂ = V₁ = 0.0165 m³

T₂ = 657 C = 657 + 273 = 930 K

using the equation

P₂ V₂ = n R T₂

P₂ (0.0165) = (1.3) (8.314) (930)

P₂ = 609189 Pa

D)

for isothermal process , temperature remain same

hence T₃ = T₂ = 657 C