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A certain amount of gas occupies 5.0 dm³ at 2 atm and 10⁰c. Calculate the number of moles present (R=0.082)

2 Answers

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Final answer:

To calculate the number of moles present in a certain amount of gas, use the ideal gas law equation PV = nRT. Plug in the given values and solve for n.

number of moles of gas present = 1.70 moles .

Step-by-step explanation:

To calculate the number of moles present in a certain amount of gas, we can use the ideal gas law equation: PV = nRT. In this equation, P represents the pressure, V represents the volume, n represents the number of moles, R represents the gas constant, and T represents the temperature. We are given the pressure, volume, and temperature, so we can rearrange the equation to solve for n:

n = PV / (RT)

Plugging in the given values, n = (2 atm)(5.0 dm³) / (0.082 L·atm/mol·K)(10⁰C + 273) = 1.70 moles. Therefore, there are 1.70 moles of gas present.

User Ahmad Siavashi
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6 votes

Answer:

n = 0.43 moles

Step-by-step explanation:

from ideal gas equation;

PV = nRT

making n subject of the formula

n = PV/RT

but;

T = (10 + 273)k = 283k

P = 2 atm

V = 5dm³

R = 0.082

Therefore,

n = 2 x 5

0.082 x 283

= 0.43 moles

User Paragon
by
7.8k points