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Naya [18.7K]
3 years ago
15

A scientist fills a large, tightly sealed balloon with 75,000 mL of helium at STP.

Chemistry
1 answer:
pav-90 [236]3 years ago
3 0

Considering the definition of STP conditions, 3.35 moles of helium are contained within the balloon.

<h3>Definition of STP condition</h3>

The STP conditions refer to the standard temperature and pressure. Pressure values at 1 atmosphere and temperature at 0 ° C are used and are reference values for gases. And in these conditions 1 mole of any gas occupies an approximate volume of 22.4 liters.

<h3>Amount of moles of helium within the balloon</h3>

In this case, you know that scientist fills a large, tightly sealed balloon with 75,000 mL of helium at STP.

So, you can apply the following rule of three: if by definition of STP conditions 22.4 liters are occupied by 1 mole of helium, 75 L (75 L= 75000 mL, being 1 L= 1000 L) are occupied by how many moles of helium?

amount of moles of helium=\frac{75 Lx1 mole}{22.4 L}

<u><em>amount of moles of helium= 3.35 moles</em></u>

Finally, 3.35 moles of helium are contained within the balloon.

Learn more about STP conditions:

brainly.com/question/26364483

brainly.com/question/8846039

brainly.com/question/1186356

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gogolik [260]

<u>Answer:</u> The amount of heat absorbed is 141.004 kJ.

<u>Explanation:</u>

In order to calculate the amount of heat released while converting given amount of steam (gaseous state) to ice (solid state), few processes are involved:

(1): H_2O (s) (-25^oC, 248K) \rightleftharpoons H_2O(s) (0^oC,273K)

(2): H_2O (s) (0^oC, 273K) \rightleftharpoons H_2O(l) (0^oC,273K)  

(3): H_2O (l) (0^oC, 273K) \rightleftharpoons H_2O(l) (100^oC,373K)

(4): H_2O (l) (100^oC, 373K) \rightleftharpoons H_2O(g) (100^oC,373K)

Calculating the heat absorbed for the process having the same temperature:

q=m\times \Delta H_{(f , v)}       ......(i)

where,

q is the amount of heat absorbed, m is the mass of sample and \Delta H_{(f , v)} is the enthalpy of fusion or vaporization

Calculating the heat released for the process having different temperature:

q=m\times C_{s,l}\times (T_2-T_1)      ......(ii)

where,

C_{s,l} = specific heat of solid or liquid

T_2\text{ and }T_1 are final and initial temperatures respectively

  • <u>For process 1:</u>

We are given:

m=46g\\C=2.108J/g^oC\\T_2=0^oC\\T_1=-25^oC

Putting values in equation (i), we get:

q_1=46g\times 2.108J/g^oC\times (0-(-25))\\\\q_1=2424.2J

  • <u>For process 2:</u>

We are given:

m=46g\\\Delta H_{fusion}=334J/g

Putting values in equation (i), we get:

q_2=46g\times 334J/g\\\\q_2=15364J

  • <u>For process 3:</u>

We are given:

m=46g\\C=4.186J/g^oC\\T_2=100^oC\\T_1=0^oC

Putting values in equation (i), we get:

q_3=46g\times 4.186J/g^oC\times (100-0)\\\\q_3=19255.6J

  • <u>For process 4:</u>

We are given:

m=46g\\\Delta H_{vap}=2260J/g

Putting values in equation (i), we get:

q_4=46g\times 2260J/g\\\\q_4=103960J

Calculating the total amount of heat released:

Q=q_1+q_2+q_3+q_4

Q=[(2424.2)+(15364)+(19255.6)+(103960)]

Q=141003.8J=141.004kJ                  (Conversion factor: 1 kJ = 1000J)

Hence, the amount of heat absorbed is 141.004 kJ.

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