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kodGreya
19 days ago
5

How much CO2 (L) is produced when 2.10 kg of sodium bicarbonate reacts with excess hydrochloric acid at 25.0 °C and 1.23 atm? A)

4.17 × 10-1 B)4.98 × 102 C)4.17 × 101 D)3.50 E)4.98 × 10-1
Chemistry
2 answers:
KiRa [2.7K]19 days ago
6 0

The equation representing the reaction between sodium bicarbonate and hydrochloric acid is as follows:

NaHCO_3_(_s_) + HCl_(_a_q_) \implies NaCl_(_a_q_) + CO_2_(_g_) + H_2O_(_l_)

The substances NaHCO_3 and HCl combine in a 1:1 ratio. Therefore, we calculate the quantity of sodium bicarbonate and its molar mass to determine the moles formed.

NaHCO_3_M_r = 22.99 + 1.008 + 12.011+ 3 \times 16.0= 84.01 g/mol.

2.1kg\ NaHCO_3 \times \frac{1000g}{kg} \times \frac{mol}{84.01g/mol} = 24.997\ mol.

We also recognize that the stoichiometric proportions are 1:1:1:1:1, which leads to the conclusion that the moles of CO_2 equal 24.977 moles.

Next, we apply the ideal gas equation PV=nRT, where P denotes pressure, V refers to volume, R is the gas constant, and T represents the temperature in kelvins. We rearrange to solve for V

PV= nRT \implies V= \frac{nRT}{P}= \frac{ 24.997\ mol \times 8.2507m^3\ atm \times 298.15K }{mol \times K \times 1.23 atm} = 49967\ m^3

The final answer should be expressed in liters, 1L = 1000\ m^3, hence

49967\ m^3 \times\frac{L}{1000\ m^3} =49.97L\ CO_2\ produced

KiRa [2.7K]19 days ago
3 0

Response: The right choice is (B) 4.98\times 10^2L

Clarification:

Initially, we need to find the number of moles of NaHCO_3.

\text{Moles of }NaHCO_3=\frac{\text{Mass of }NaHCO_3}{\text{Molar mass of }NaHCO_3}=\frac{2100g}{84g/mole}=25moles

Next, we will determine the moles of CO_2.

The balanced chemical equation is

NaHCO_3+HCl\rightarrow NaCl+CO_2+H_2O

From this equation, we derive that

Since 1 mole of NaHCO_3 produces 1 mole of CO_2

Thus, 25 moles of NaHCO_3 yield 25 moles of CO_2

Now we need to compute the volume of CO_2.

Utilizing the ideal gas law,

PV=nRT

Here,

P = pressure of CO_2 gas = 1.23 atm

V = volume of CO_2 gas =?

T = temperature of CO_2 gas = 25^oC=273+25=298K

n = number of moles of CO_2 gas = 25 moles

R = gas constant = 0.0821 L.atm/mole.K

Substituting in all the known variables into the ideal gas equation results in

(1.23atm)\times V=25mole\times (0.0821L.atm/mole.K)\times (298K)

V=498L=4.98\times 10^2L

Consequently, the volume of carbon dioxide gas generated is 4.98\times 10^2L

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