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IgorC [24]
4 years ago
6

Carbonated drinks in cans have a small amount of space above the liquid level inside the can known as the “headspace.” What woul

d be true about the gas in this headspace if the can is opened? Volume stays constant. Pressure stays constant. Temperature stays constant.
Chemistry
2 answers:
andrey2020 [161]4 years ago
3 0
The temperature will stay constant.
SashulF [63]4 years ago
3 0

Answer: The temperature remains constant.

Explanation: Carbonated drinks have carbon dioxide mixed in water at high pressures as the solubility increases with high pressure. So, when we open the can at atmospheric pressure, the pressure will decrease and the solubility also decreases which will result in the increase in volume.

This phenomena is explained by Boyle's Law:

This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

P\propto \frac{1}{V}

Increase in pressure will result in decrease of volume and vice versa.

So, when we open the can of a carbonated drink, the pressure and volume changes but the temperature remains constant.

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3 years ago
Calculate the mass of methane that must be burned to provide enough heat to convert 242.0 g of water at 26.0°C into steam at 101
Anarel [89]

<u>Answer:</u> The mass of methane burned is 12.4 grams.

<u>Explanation:</u>

The chemical equation for the combustion of methane follows:

CH_4(g)+2O_2(g)\rightarrow CO_2(g)+2H_2O(g)

The equation for the enthalpy change of the above reaction is:

\Delta H^o_{rxn}=[(1\times \Delta H^o_f_{(CO_2(g))})+(2\times \Delta H^o_f_{(H_2O(g))})]-[(1\times \Delta H^o_f_{(CH_4(g))})+(2\times \Delta H^o_f_{(O_2(g))})]

We are given:

\Delta H^o_f_{(H_2O(g))}=-241.82kJ/mol\\\Delta H^o_f_{(CO_2(g))}=-393.51kJ/mol\\\Delta H^o_f_{(CH_4(g))}=-74.81kJ/mol\\\Delta H^o_f_{O_2}=0kJ/mol

Putting values in above equation, we get:

\Delta H^o_{rxn}=[(1\times (-393.51))+(2\times (-241.82))]-[(1\times (-74.81))+(2\times (0))]\\\\\Delta H^o_{rxn}=-802.34kJ

The heat calculated above is the heat released for 1 mole of methane.

The process involved in this problem are:

(1):H_2O(l)(26^oC)\rightarrow H_2O(l)(100^oC)\\\\(2):H_2O(l)(100^oC)\rightarrow H_2O(g)(100^oC)\\\\(3):H_2O(g)(100^oC)\rightarrow H_2O(g)(101^oC)

Now, we calculate the amount of heat released or absorbed in all the processes.

  • <u>For process 1:</u>

q_1=mC_p,l\times (T_2-T_1)

where,

q_1 = amount of heat absorbed = ?

m = mass of water = 242.0 g

C_{p,l} = specific heat of water = 4.18 J/g°C

T_2 = final temperature = 100^oC

T_1 = initial temperature = 26^oC

Putting all the values in above equation, we get:

q_1=242.0g\times 4.18J/g^oC\times (100-(26))^oC=74855.44J

  • <u>For process 2:</u>

q_2=m\times L_v

where,

q_2 = amount of heat absorbed = ?

m = mass of water or steam = 242 g

L_v = latent heat of vaporization = 2257 J/g

Putting all the values in above equation, we get:

q_2=242g\times 2257J/g=546194J

  • <u>For process 3:</u>

q_3=mC_p,g\times (T_2-T_1)

where,

q_3 = amount of heat absorbed = ?

m = mass of steam = 242.0 g

C_{p,g} = specific heat of steam = 2.08 J/g°C

T_2 = final temperature = 101^oC

T_1 = initial temperature = 100^oC

Putting all the values in above equation, we get:

q_3=242.0g\times 2.08J/g^oC\times (101-(100))^oC=503.36J

Total heat required = q_1+q_2+q_3=(74855.44+546194+503.36)=621552.8J=621.552kJ

  • To calculate the number of moles of methane, we apply unitary method:

When 802.34 kJ of heat is needed, the amount of methane combusted is 1 mole

So, when 621.552 kJ of heat is needed, the amount of methane combusted will be = \frac{1}{802.34}\times 621.552=0.775mol

To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Molar mass of methane = 16 g/mol

Moles of methane = 0.775 moles

Putting values in above equation, we get:

0.775mol=\frac{\text{Mass of methane}}{16g/mol}\\\\\text{Mass of methane}=(0.775mol\times 16g/mol)=12.4g

Hence, the mass of methane burned is 12.4 grams.

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