Practise questions | Salam Academy

SA-AC-GA-0033 marksL3 ExamCalculatorIdeal gas equation

0.320

g of a gas occupies

200\ \text{cm}^3

at

101

kPa and

300

K. Calculate its

M_r

. (

R=8.31

)

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SA-AC-GB-0032 marksL3 ExamCalculatorGibbs

For a reaction,

\Delta H=-92

kJ mol⁻¹ and

\Delta S=-199

J K⁻¹ mol⁻¹. Calculate ΔG at 298 K.

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SA-AC-GB-0042 marksL3 ExamCalculatorFeasibility temperature

\Delta H=+178

kJ mol⁻¹,

\Delta S=+161

J K⁻¹ mol⁻¹. Calculate the minimum temperature (K) at which the reaction is feasible.

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SA-AC-KP-0052 marksL3 ExamCalculatorKsp

K_{sp}(\mathrm{AgCl})=1.8\times10^{-10}

mol² dm⁻⁶. Calculate the solubility of AgCl in water (×10⁻⁵ mol dm⁻³).

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SA-AC-MO-0033 marksL3 ExamCalculatorFormulae

0.290

g of a hydrocarbon burns to give

0.880

g CO₂ and

0.450

g H₂O. Find the ratio of H atoms to C atoms in its empirical formula.

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SA-AC-PH-0032 marksL3 ExamCalculatorWeak acids

Calculate the pH of 0.100 mol dm⁻³ ethanoic acid,

K_a=1.74\times10^{-5}

mol dm⁻³.

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SA-AC-PH-0042 marksL3 ExamCalculatorBuffers and curves

Calculate the pH of a buffer containing 0.200 mol dm⁻³ CH₃COONa and 0.100 mol dm⁻³ CH₃COOH (

\mathrm{p}K_a=4.76

).

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SA-AC-PR-0052 marksL3 ExamCalculatorCalorimetry and tests

Using q = 1359 J for 0.0500 mol of water formed, calculate ΔH (kJ mol⁻¹).

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SA-AC-RE-0032 marksL3 ExamCalculatork and half-life

rate = k[A][B]². When [A] = 0.10 and [B] = 0.20 mol dm⁻³, rate = 3.0 × 10⁻³ mol dm⁻³ s⁻¹. Calculate k (dm⁶ mol⁻² s⁻¹).

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SA-AC-S2-0041 markL3 ExamCalculatorPlanning

Which sequence makes 1-phenylethanol from benzene?

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SA-AC-TM-0043 marksL3 ExamCalculatorRedox titrations

25.0 cm³ of Fe²⁺(aq) reacts with 20.0 cm³ of 0.0200 mol dm⁻³ KMnO₄. Calculate [Fe²⁺] (mol dm⁻³).

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SA-AC-TM-0053 marksL3 ExamCalculatorRedox titrations

A solution of Fe²⁺ needs 15.0 cm³ of 0.0100 mol dm⁻³ K₂Cr₂O₇. How many moles of Fe²⁺ (×10⁻⁴) were present?

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SA-DM-AS-0013 marksL3 ExamNon-calculatorHungarian

Costs:

P

:

4,2,8

;

Q

:

4,3,7

;

R

:

3,1,6

(jobs 1–3). Find the minimum total cost.

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SA-DM-CP-0022 marksL3 ExamNon-calculatorCritical path

Find the total float of activity A.

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SA-DM-DA-0012 marksL3 ExamNon-calculatorEMV

For what probability

p

of winning £1000 (else losing £200) is the gamble's EMV equal to a certain £500?

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SA-DM-DP-0022 marksL3 ExamNon-calculatorMaximin

Find the maximin value from

S

to

T

(make the smallest edge on the route as large as possible).

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SA-DM-DP-0032 marksL3 ExamNon-calculatorMaximin

Find the minimax value from

S

to

T

(make the largest edge on the route as small as possible).

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SA-DM-GT-0022 marksL3 ExamNon-calculatorMixed strategies

Pay-offs to A:

R_1(4,-1)

,

R_2(-2,3)

. Find the probability

p

with which A should play

R_1

.

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SA-FM-C2-0032 marksL3 ExamNon-calculatorTwo spheres

Smooth sphere A moving at

(3\mathbf i+4\mathbf j)

m s

^{-1}

hits an identical sphere B at rest. The line of centres is parallel to

\mathbf i

and

e=1

. Find the

\mathbf j

-component of A's velocity afterwards.

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SA-FM-CL-0033 marksL3 ExamNon-calculatorComposite laminas

A uniform

6\times4

rectangle (

0\le x\le6

,

0\le y\le4

) has a

2\times2

square removed from

4\le x\le6

,

0\le y\le2

. Find

\bar x

.

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