Reversing and Multiplying Thermochemical Equations: How ΔH Changes

Chemistry · Thermodynamics · NEET

Two simple rules. If you reverse (flip) a reaction, the sign of ΔH changes (+ becomes − and − becomes +), but the number stays the same. If you multiply the whole equation by a number, you multiply ΔH by the same number. Memory hook: "Flip the arrow, flip the sign. Double the moles, double the heat."
Two Rules for Thermochemical Equations1. REVERSE the reactionFlip the sign of ΔHvalue stays the same2. MULTIPLY by nMultiply ΔH by nsign stays the sameH₂(g) + ½O₂(g) → H₂O(l) ΔH = −286 kJReverse → ΔH = +286 kJ×2 → ΔH = −572 kJΔH is a state function and an extensive property
Reversing a thermochemical equation flips the sign of ΔH (value unchanged); multiplying the equation by n multiplies ΔH by n (sign unchanged).

Your doubts, answered

If I reverse a reaction, does the value of ΔH change or only the sign?

Only the sign changes. The number stays exactly the same. Example: H2(g) + ½O2(g) → H2O(l), ΔH = −286 kJ. Reverse it: H2O(l) → H2(g) + ½O2(g), ΔH = +286 kJ. Same 286, opposite sign. Reason: ΔH is a state function. Going forward releases heat (exothermic, −), so going backward must absorb the same heat (endothermic, +).

When I multiply the whole equation by 2, do I multiply ΔH by 2 as well?

Yes. ΔH is an extensive quantity, so it scales with the amount of substance. If C(s) + O2(g) → CO2(g) has ΔH = −393 kJ, then 2C(s) + 2O2(g) → 2CO2(g) has ΔH = 2 × (−393) = −786 kJ. Twice the moles react, so twice the heat is released.

What if I halve the equation (multiply by ½)?

Then you multiply ΔH by ½ too. For 2H2(g) + O2(g) → 2H2O(l), ΔH = −572 kJ. Divide the equation by 2: H2(g) + ½O2(g) → H2O(l), ΔH = −572/2 = −286 kJ. Fractional coefficients like ½O2 are allowed in thermochemical equations.

Why does reversing flip the sign but not the size?

Because energy is conserved. The heat given out in the forward direction is exactly the heat you must put back in the reverse direction. The path does not matter (ΔH is a state function), so the amount is identical — only the direction of heat flow (into or out of the system) reverses, which is what the sign shows.

Do I have to change the sign AND the number at the same time when scaling a reversed equation?

Do them in order. First reverse: flip the sign only. Then multiply: scale the (already flipped) number by the factor. Example: reverse and double CH4 combustion (ΔH = −890 kJ). Step 1 reverse → +890 kJ. Step 2 multiply by 2 → +1780 kJ. This is exactly how Hess's Law problems combine equations.

When do these rules actually get used in NEET?

In Hess's Law of Constant Heat Summation questions. You are given a few thermochemical equations and a target equation. You reverse some (flip signs) and multiply some (scale ΔH) so that when you add them, they give the target reaction. Then you add the adjusted ΔH values to get the answer. These two rules are the whole engine of Hess's Law arithmetic.

⚠️ The NEET trap
Reversing H2O(l) → H2 + ½O2 gives ΔH = −286 kJ, and doubling a reaction leaves ΔH unchanged.
Reversing flips the sign to ΔH = +286 kJ (endothermic). Doubling the equation doubles ΔH to −572 kJ. Sign changes on reversal; value scales on multiplication.
🧠 Students memorise ΔH = −286 for water and forget to flip the sign when the equation is reversed. Always ask: was the arrow flipped (change sign) or was it scaled (change number)?

Solved Thermodynamics NEET PYQs

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Frequently asked

Does reversing a reaction change the magnitude of ΔH?

No. Reversing only flips the sign (+ to − or − to +). The magnitude (the number) stays exactly the same because ΔH is a state function.

If a thermochemical equation is multiplied by 3, what happens to ΔH?

ΔH is multiplied by 3 as well. ΔH is an extensive property, so it scales directly with the coefficients of the balanced equation.

Can thermochemical equations have fractional coefficients like ½O2?

Yes. Because ΔH is quoted per the amounts shown, fractions are allowed, for example H2(g) + ½O2(g) → H2O(l). If you clear the fraction by doubling, you must double ΔH too.

Why is reversing and scaling important for NEET?

These two rules power Hess's Law questions. You reverse and multiply given equations so they add up to the target reaction, then add the adjusted ΔH values to find the unknown enthalpy.

Do I change the physical states when I reverse a reaction?

The states (s, l, g) stay attached to the same species; you only swap which side they are on. Products become reactants and vice versa, but H2O(l) stays H2O(l).