# Zinc metal reacts with hydrochloric acid according to the balanced equation: zn(s) + 2 hcl(aq) ¡ zncl2(aq) + h2( g) when 0.103 g of zn(s) is combined with enough hcl to make 50.0 ml of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 22.5 °c to 23.7 °c. find ∆hrxn for this reaction as written. (use 1.0 g/ml for the

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Zinc metal reacts with hydrochloric acid to form zinc chloride and release hydrogen gas. The equation is exothermic, therefore, the change in enthalpy will be negative. The equation is:

Given that,

Volume of solution = 50 mLDensity is = 1g/mLMass = Volume X density = 50 X 1 = 50 gNow, the heat released by reaction is equal to the heat absorbed. The heat evolved can be measured as:

Heat = m X SH X T,

where,

SH = Specific heatm = mass T = Change in temperatureAs water have specific heat of 4.18 J/g°C, substituting in the equation, it becomes:

Also, the mass of zinc is given that 0.103 g and molar mass is 65.41 g/mol. Then, number of moles in zinc will be:

Thus, enthalpy change will be:

Therefore, the = for the given equation.

To know more about enthalpy change, refer to the following link:

link

Volume of solution is 50 mL and density is 1 g/mL thus, mass can be calculated as follows:

m=V×d

Putting the values,

m= 50 mL× 1 g/mL=50 g

Now, heat released by reaction is equal to heat absorbed thus, heat released can be calculated as follows:

Here, SH is specific heat, m is mass and is change in temperature.

Specific heat of water is 4.18 J/g°C, putting the values,

Now, mass of zinc is 0.103 g and molar mass is 65.41 g/mol thus, number of moles of zinc can be calculated as:

Thus,

Putting the values,

Therefore, for the given reaction is

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