A 425.00-gram sample of a compound decomposes into 196.01 grams of carbon, 41.14 grams of hydrogen, 130.56 grams of oxygen, and
1 answer:
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Answer:
(a) 6.38 × 10⁻²⁹ kg·m·s⁻¹; (b) 7.00 kg·m·s⁻¹; (c) 82.7 µm; (d) 7.53 × 10⁻³⁴ m;
(e) Δx ∝ 1/m
Explanation:
(a) Momentum of electron
p = mv = 9.11 × 10⁻³¹ kg × 70.0 m·s⁻¹ = 6.38 × 10⁻²⁹ kg·m·s⁻¹
(b) Momentum of tennis ball
p = mv = 0.1000 kg × 70.0 m·s⁻¹ = 7.00 kg·m·s⁻¹
(c) Δx for electron
Δp = 0.010p = 0.010 × 6.38 × 10⁻²⁹ kg·m·s⁻¹ = 6.38 × 10⁻³¹ kg·m·s⁻¹
(d) Δx for tennis ball
Δp = 0.010p = 0.010 × 7.00 kg·m·s⁻¹ = 0.0700 kg·m·s⁻¹
(e) Relative uncertainty
Both particles are travelling at the same speed, so,
ΔxΔp = Δx × mv = mvΔx = constant
v is constant, so
Δx ∝ 1/m
Thus, the larger the mass of an object, the smaller the uncertainty in its velocity.