Chemistry, 09.07.2019 17:00 mervesena01

Asample of cl2 gas has a volume of 15.0 l at a pressure of 1.50 atm and a temperature of 23 °c. what volume, in liters, will the gas occupy at 3.50 atm and 286 °c? assume ideal behavior.

Answers: 1

Show answers

Answers

Answer from: khalilah2000ortbfy

Given: Initial volume of $CO_{2}$ gas= 15.0 L

Pressure=1.50 atm

Temperature=23°C

Use ideal gas equation as follows:

PV=nRT

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature in Kelvin.

First convert the given temperature in Kelvin.

0°C=273.15 K

Thus, 23 °C=296.15 K

Rearranging ideal gas equation to calculate the value of nR as follows:

$nR=\frac{PV}{T}=\frac{(1.50 atm)(15.0 L)}{(296.15 K)}=0.0760 atm LK^{-1}$

Now, final pressure is 3.50 atm and temperature is 286°C, converting the temperature into Kelvin,

0°C=273.15 K

Thus, 286 °C=559.15 K

Volume can be calculated using the ideal gas equation as follows:

$V=\frac{nRT}{P}$

Putting the value of given pressure and temperature and the above calculated value of nR,

$V=\frac{(0.0760 atmLK^{-1})(559.15 K)}{(3.50 atm)}=12.14 L$

Therefore, volume of $CO_{2}$ at 3.50 atm and 286°C is 12.14 L.

Answer from: mooreadrian412

Volume of Cl₂ gas at 3.5 atm and 286°C = 12.14 L

Further explanation

Some of the laws regarding gas, can apply to ideal gas (volume expansion does not occur when the gas is heated), among others

•Boyle's law at constant T, P = 1 / V

•Charles's law, at constant P, V = T

•Avogadro's law, at constant P and T, V = n

So that the three laws can be combined into a single gas equation, the ideal gas equation

In general, the gas equation can be written

$\large{\boxed{\bold{PV=nRT}}}$

where

P = pressure, atm

V = volume, liter

n = number of moles

R = gas constant = 0.082 l.atm / mol K

T = temperature, Kelvin

State 1

V1= 15 L

P1 = 1.5 atm

T1 = 23°C +273 = 296 K

We can find mole(n)

$\displaystyle n=\frac{PV}{RT}\\\\n=\frac{1.5.15}{0.082.296}\\\\n=0.927$

State 2

P2=3.5 atm

T = 286°C +273 = 559 K

n (from state 1) = 0.927

$\displaystyle V=\frac{n.R.T}{P}\\\\V=\frac{0.927.0.082.559}{3.5}\\\\V=\boxed{\bold{12.14~L}}$

Learn more

Which equation agrees with the ideal gas law

link

Which law relates to the ideal gas law

link

Keywords : ideal gas law, Cl₂

Answer from: Quest

the solar system used to have much dust particles option no d

Which of the following best illustrates the role that gravity played in the formation of the solar s

Answer from: Quest

Are there any options that could alot..

Another question on Chemistry

Chemistry, 21.06.2019 15:40

What is the total reduction potential of a cell in which potassium (k) is reduced and copper (cu) is oxidized? a. 2.59 v b. 3.27 v c. -3.27 v d.-2.59 v

Answers: 1

Answer

Chemistry, 21.06.2019 22:50

Select the correct answer how does the heat content of the reaction change in the process of photosynthesis when a glucose molecule is formed? ca the value of is negative the value of qis positive the value of a remains constant the value of a decreases the value of equals zero e

Answers: 2

Answer

Chemistry, 21.06.2019 23:00

Write a brief passage describing a neutral atom of nitrogen-14 (n-14). describe the number of protons, neutrons, and electrons in the atom, where each type of particle is located, and how the terms atomic number, mass number, and atomic mass are related to the particles. use the periodic table to you. 14 protons and eletrons since its a neutral atom

Answers: 1

Answer

Chemistry, 22.06.2019 03:00

In the 1800s, one of the statements in john dalton's atomic theory was that atoms are indivisible. later experimental evidence led to the discovery of subatomic particles such as neutrons, electrons, and protons. what happened to the indivisible atom part of dalton's atomic theory, and why?

Answers: 3

Answer

You know the right answer?

Asample of cl2 gas has a volume of 15.0 l at a pressure of 1.50 atm and a temperature of 23 °c. what...

Questions