IIT-JEE · Practice Sheet 18

1. 1.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 373 K in a 19 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

   View formula →
2. 2.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 4 L of solution.

   Formula:Molarity

   $M = \dfrac{n}{V}$

   View formula →
3. 3.

   Physics

   If 3,567 J of work is done in 40 s, find the power.

   Formula:Power

   $P = \dfrac{W}{t}$

   View formula →
4. 4.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 291 K in a 11 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

   View formula →
5. 5.

   Physics

   An object starts at 15 m/s and accelerates at 7 m/s² for 10 s. Find its final velocity.

   Formula:Equation of Motion (v = u + at)

   $v = u + at$

   View formula →
6. 6.

   Physics

   A constant force of 144 N moves an object 37 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

   View formula →
7. 7.

   Physics

   Find the kinetic energy of a 15 kg object moving at 19 m/s.

   Formula:Kinetic Energy

   $KE = \tfrac{1}{2}mv^{2}$

   View formula →
8. 8.

   Mathematics

   Find term number 7 of a geometric progression with first term 5 and common ratio 3.

   Formula:GP nth Term

   $a_n = a\,r^{\,n-1}$

   View formula →
9. 9.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻4 mol/L.

   Formula:pH of a Solution

   $pH = -\log_{10}[H^{+}]$

   View formula →
10. 10.

    Physics

    An object starts at 11 m/s and accelerates at 3 m/s² for 4 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

    View formula →
11. 11.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 214 K in a 19 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

    View formula →
12. 12.

    Physics

    Find the force required to accelerate a 18 kg mass at 11 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

    View formula →
13. 13.

    Chemistry

    Find the molarity of a solution containing 0.5 mol of solute in 4 L of solution.

    Formula:Molarity

    $M = \dfrac{n}{V}$

    View formula →
14. 14.

    Mathematics

    Find the sum of the first 20 terms of an AP with first term 17 and common difference 3.

    Formula:AP Sum of n Terms

    $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

    View formula →
15. 15.

    Mathematics

    Evaluate ∫ from 0 to 3 of 3x^2 dx.

    Formula:Definite Integral of a Power

    $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

    View formula →
16. 16.

    Physics

    An object starts at 19 m/s and accelerates at 6 m/s² for 12 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

    View formula →
17. 17.

    Mathematics

    Evaluate ∫ from 0 to 5 of 2x^1 dx.

    Formula:Definite Integral of a Power

    $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

    View formula →
18. 18.

    Mathematics

    Find the distance between the points (-1, -2) and (1, -8).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

    View formula →
19. 19.

    Quantitative Aptitude

    A vehicle covers 128 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

    View formula →
20. 20.

    Mathematics

    For the quadratic 2x² + 9x + 9 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.