We read your photo as:

Calculate the gradient of the graph and the enthalpy of solution using the provided data and formulas.

Chemistry

ScanSolve AI Answer

Answers

2 parts
a
-19.4
b

372 J mol−1372 \, \text{J mol}^{-1}

Step-by-step solution

4 steps

Here are the calculations based on the provided information:

Part a· 2 steps

Calculate the gradient of the graph.

  1. Identify the coordinates of the two points used for the gradient calculation.

    From the student's work, the points are:
    Point 1: (x1,y1)=(0.00327,0.091)(x_1, y_1) = (0.00327, 0.091)
    Point 2: (x2,y2)=(0.00291,0.098)(x_2, y_2) = (0.00291, 0.098)

  2. Calculate the gradient using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.

    m=0.098−0.0910.00291−0.00327m = \frac{0.098 - 0.091}{0.00291 - 0.00327} m=0.007−0.00036m = \frac{0.007}{-0.00036} m=−19.4444...m = -19.4444...

    Rounding to three significant figures, the gradient is −19.4\boxed{-19.4}.

Part b

372 J mol−1372 \, \text{J mol}^{-1}

Calculate the enthalpy of solution using the expression ΔH=−gradient×2.3R\Delta H = -\text{gradient} \times 2.3R, where R=8.31 J mol−1K−1R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}.

  1. Substitute the calculated gradient and the value of RR into the given expression.

    Using the more precise gradient value:

    ΔH=−(−19.4444...)×2.3×8.31 J mol−1K−1\Delta H = -(-19.4444...) \times 2.3 \times 8.31 \, \text{J mol}^{-1} \text{K}^{-1} ΔH=19.4444...×2.3×8.31 J mol−1\Delta H = 19.4444... \times 2.3 \times 8.31 \, \text{J mol}^{-1} ΔH=19.4444...×19.113 J mol−1\Delta H = 19.4444... \times 19.113 \, \text{J mol}^{-1} ΔH=372.093... J mol−1\Delta H = 372.093... \, \text{J mol}^{-1}

  2. Round the final answer to an appropriate number of significant figures.

    Rounding to three significant figures:

    ΔH=372 J mol−1\Delta H = 372 \, \text{J mol}^{-1}

    The enthalpy of solution is 372 J mol−1\boxed{372 \, \text{J mol}^{-1}}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Chemistry Questions

QCalculate the gradient (slope) of the line.QIntegrate the gradient function to find the equation of the curve.QWrite down the given reactions and their enthalpy changes.QCalculate the gradient of the two lines below.QCalculate the specific enthalpy change ( h) using the given C_p equation.
See all Chemistry questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp